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Simplifying -3f + 10f + 5 = 3(4f + -5) Reorder the terms: 5 + -3f + 10f = 3(4f + -5) Combine like terms: -3f + 10f = 7f 5 + 7f = 3(4f + -5) Reorder the terms: 5 + 7f = 3(-5 + 4f) 5 + 7f = (-5 * 3 + 4f * 3) 5 + 7f = (-15 + 12f) Solving 5 + 7f = -15 + 12f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. 5 + 7f + -12f = -15 + 12f + -12f Combine like terms: 7f + -12f = -5f 5 + -5f = -15 + 12f + -12f Combine like terms: 12f + -12f = 0 5 + -5f = -15 + 0 5 + -5f = -15 Add '-5' to each side of the equation. 5 + -5 + -5f = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -5f = -15 + -5 -5f = -15 + -5 Combine like terms: -15 + -5 = -20 -5f = -20 Divide each side by '-5'. f = 4 Simplifying f = 4
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