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Simplifying -61 = 3(f + -4) + 5(7 + -3f) Reorder the terms: -61 = 3(-4 + f) + 5(7 + -3f) -61 = (-4 * 3 + f * 3) + 5(7 + -3f) -61 = (-12 + 3f) + 5(7 + -3f) -61 = -12 + 3f + (7 * 5 + -3f * 5) -61 = -12 + 3f + (35 + -15f) Reorder the terms: -61 = -12 + 35 + 3f + -15f Combine like terms: -12 + 35 = 23 -61 = 23 + 3f + -15f Combine like terms: 3f + -15f = -12f -61 = 23 + -12f Solving -61 = 23 + -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. -61 + 12f = 23 + -12f + 12f Combine like terms: -12f + 12f = 0 -61 + 12f = 23 + 0 -61 + 12f = 23 Add '61' to each side of the equation. -61 + 61 + 12f = 23 + 61 Combine like terms: -61 + 61 = 0 0 + 12f = 23 + 61 12f = 23 + 61 Combine like terms: 23 + 61 = 84 12f = 84 Divide each side by '12'. f = 7 Simplifying f = 7
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