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Simplifying 4(-12f + 9) = -3(17f + -10) Reorder the terms: 4(9 + -12f) = -3(17f + -10) (9 * 4 + -12f * 4) = -3(17f + -10) (36 + -48f) = -3(17f + -10) Reorder the terms: 36 + -48f = -3(-10 + 17f) 36 + -48f = (-10 * -3 + 17f * -3) 36 + -48f = (30 + -51f) Solving 36 + -48f = 30 + -51f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '51f' to each side of the equation. 36 + -48f + 51f = 30 + -51f + 51f Combine like terms: -48f + 51f = 3f 36 + 3f = 30 + -51f + 51f Combine like terms: -51f + 51f = 0 36 + 3f = 30 + 0 36 + 3f = 30 Add '-36' to each side of the equation. 36 + -36 + 3f = 30 + -36 Combine like terms: 36 + -36 = 0 0 + 3f = 30 + -36 3f = 30 + -36 Combine like terms: 30 + -36 = -6 3f = -6 Divide each side by '3'. f = -2 Simplifying f = -2
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