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Simplifying -56f + 5(-100f + 18) = 7(-87f + -25) Reorder the terms: -56f + 5(18 + -100f) = 7(-87f + -25) -56f + (18 * 5 + -100f * 5) = 7(-87f + -25) -56f + (90 + -500f) = 7(-87f + -25) Reorder the terms: 90 + -56f + -500f = 7(-87f + -25) Combine like terms: -56f + -500f = -556f 90 + -556f = 7(-87f + -25) Reorder the terms: 90 + -556f = 7(-25 + -87f) 90 + -556f = (-25 * 7 + -87f * 7) 90 + -556f = (-175 + -609f) Solving 90 + -556f = -175 + -609f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '609f' to each side of the equation. 90 + -556f + 609f = -175 + -609f + 609f Combine like terms: -556f + 609f = 53f 90 + 53f = -175 + -609f + 609f Combine like terms: -609f + 609f = 0 90 + 53f = -175 + 0 90 + 53f = -175 Add '-90' to each side of the equation. 90 + -90 + 53f = -175 + -90 Combine like terms: 90 + -90 = 0 0 + 53f = -175 + -90 53f = -175 + -90 Combine like terms: -175 + -90 = -265 53f = -265 Divide each side by '53'. f = -5 Simplifying f = -5
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