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Simplifying -9f + 15 = -22 + -4(f + 12) Reorder the terms: 15 + -9f = -22 + -4(f + 12) Reorder the terms: 15 + -9f = -22 + -4(12 + f) 15 + -9f = -22 + (12 * -4 + f * -4) 15 + -9f = -22 + (-48 + -4f) Combine like terms: -22 + -48 = -70 15 + -9f = -70 + -4f Solving 15 + -9f = -70 + -4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '4f' to each side of the equation. 15 + -9f + 4f = -70 + -4f + 4f Combine like terms: -9f + 4f = -5f 15 + -5f = -70 + -4f + 4f Combine like terms: -4f + 4f = 0 15 + -5f = -70 + 0 15 + -5f = -70 Add '-15' to each side of the equation. 15 + -15 + -5f = -70 + -15 Combine like terms: 15 + -15 = 0 0 + -5f = -70 + -15 -5f = -70 + -15 Combine like terms: -70 + -15 = -85 -5f = -85 Divide each side by '-5'. f = 17 Simplifying f = 17
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