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Simplifying 2(3f + -4) + 2f + 31 = 79 Reorder the terms: 2(-4 + 3f) + 2f + 31 = 79 (-4 * 2 + 3f * 2) + 2f + 31 = 79 (-8 + 6f) + 2f + 31 = 79 Reorder the terms: -8 + 31 + 6f + 2f = 79 Combine like terms: -8 + 31 = 23 23 + 6f + 2f = 79 Combine like terms: 6f + 2f = 8f 23 + 8f = 79 Solving 23 + 8f = 79 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 8f = 79 + -23 Combine like terms: 23 + -23 = 0 0 + 8f = 79 + -23 8f = 79 + -23 Combine like terms: 79 + -23 = 56 8f = 56 Divide each side by '8'. f = 7 Simplifying f = 7
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