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Simplifying -3(3f + -5) = -1(-1f + 15) Reorder the terms: -3(-5 + 3f) = -1(-1f + 15) (-5 * -3 + 3f * -3) = -1(-1f + 15) (15 + -9f) = -1(-1f + 15) Reorder the terms: 15 + -9f = -1(15 + -1f) 15 + -9f = (15 * -1 + -1f * -1) 15 + -9f = (-15 + 1f) Solving 15 + -9f = -15 + 1f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1f' to each side of the equation. 15 + -9f + -1f = -15 + 1f + -1f Combine like terms: -9f + -1f = -10f 15 + -10f = -15 + 1f + -1f Combine like terms: 1f + -1f = 0 15 + -10f = -15 + 0 15 + -10f = -15 Add '-15' to each side of the equation. 15 + -15 + -10f = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -10f = -15 + -15 -10f = -15 + -15 Combine like terms: -15 + -15 = -30 -10f = -30 Divide each side by '-10'. f = 3 Simplifying f = 3
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