What is (2n - 9) - (-2.4n + 4) simplified? (So combining like terms)
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Answer:
Simplifying
(2n + -9) + -1(2.4n + 4) = 0
Reorder the terms:
(-9 + 2n) + -1(2.4n + 4) = 0
Remove parenthesis around (-9 + 2n)
-9 + 2n + -1(2.4n + 4) = 0
Reorder the terms:
-9 + 2n + -1(4 + 2.4n) = 0
-9 + 2n + (4 * -1 + 2.4n * -1) = 0
-9 + 2n + (-4 + -2.4n) = 0
Reorder the terms:
-9 + -4 + 2n + -2.4n = 0
Combine like terms: -9 + -4 = -13
-13 + 2n + -2.4n = 0
Combine like terms: 2n + -2.4n = -0.4n
-13 + -0.4n = 0
Solving
-13 + -0.4n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + -0.4n = 0 + 13
Combine like terms: -13 + 13 = 0
0 + -0.4n = 0 + 13
-0.4n = 0 + 13
Combine like terms: 0 + 13 = 13
-0.4n = 13
Divide each side by '-0.4'.
n = -32.5
Simplifying
n = -32.5
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