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Simplifying 5(f + 3) = 2(f + -6) Reorder the terms: 5(3 + f) = 2(f + -6) (3 * 5 + f * 5) = 2(f + -6) (15 + 5f) = 2(f + -6) Reorder the terms: 15 + 5f = 2(-6 + f) 15 + 5f = (-6 * 2 + f * 2) 15 + 5f = (-12 + 2f) Solving 15 + 5f = -12 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. 15 + 5f + -2f = -12 + 2f + -2f Combine like terms: 5f + -2f = 3f 15 + 3f = -12 + 2f + -2f Combine like terms: 2f + -2f = 0 15 + 3f = -12 + 0 15 + 3f = -12 Add '-15' to each side of the equation. 15 + -15 + 3f = -12 + -15 Combine like terms: 15 + -15 = 0 0 + 3f = -12 + -15 3f = -12 + -15 Combine like terms: -12 + -15 = -27 3f = -27 Divide each side by '3'. f = -9 Simplifying f = -9
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