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Simplifying -7(f + 1) = 5(f + -2) Reorder the terms: -7(1 + f) = 5(f + -2) (1 * -7 + f * -7) = 5(f + -2) (-7 + -7f) = 5(f + -2) Reorder the terms: -7 + -7f = 5(-2 + f) -7 + -7f = (-2 * 5 + f * 5) -7 + -7f = (-10 + 5f) Solving -7 + -7f = -10 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. -7 + -7f + -5f = -10 + 5f + -5f Combine like terms: -7f + -5f = -12f -7 + -12f = -10 + 5f + -5f Combine like terms: 5f + -5f = 0 -7 + -12f = -10 + 0 -7 + -12f = -10 Add '7' to each side of the equation. -7 + 7 + -12f = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -12f = -10 + 7 -12f = -10 + 7 Combine like terms: -10 + 7 = -3 -12f = -3 Divide each side by '-12'. f = 0.25 Simplifying f = 0.25
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