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Simplifying -6(10 + -4f) = -3(-12 + -8f) * 3 (10 * -6 + -4f * -6) = -3(-12 + -8f) * 3 (-60 + 24f) = -3(-12 + -8f) * 3 Reorder the terms for easier multiplication: -60 + 24f = -3 * 3(-12 + -8f) Multiply -3 * 3 -60 + 24f = -9(-12 + -8f) -60 + 24f = (-12 * -9 + -8f * -9) -60 + 24f = (108 + 72f) Solving -60 + 24f = 108 + 72f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-72f' to each side of the equation. -60 + 24f + -72f = 108 + 72f + -72f Combine like terms: 24f + -72f = -48f -60 + -48f = 108 + 72f + -72f Combine like terms: 72f + -72f = 0 -60 + -48f = 108 + 0 -60 + -48f = 108 Add '60' to each side of the equation. -60 + 60 + -48f = 108 + 60 Combine like terms: -60 + 60 = 0 0 + -48f = 108 + 60 -48f = 108 + 60 Combine like terms: 108 + 60 = 168 -48f = 168 Divide each side by '-48'. f = -3.5 Simplifying f = -3.5
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