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Simplifying 7(2f + 4) = -31 + -6f Reorder the terms: 7(4 + 2f) = -31 + -6f (4 * 7 + 2f * 7) = -31 + -6f (28 + 14f) = -31 + -6f Solving 28 + 14f = -31 + -6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '6f' to each side of the equation. 28 + 14f + 6f = -31 + -6f + 6f Combine like terms: 14f + 6f = 20f 28 + 20f = -31 + -6f + 6f Combine like terms: -6f + 6f = 0 28 + 20f = -31 + 0 28 + 20f = -31 Add '-28' to each side of the equation. 28 + -28 + 20f = -31 + -28 Combine like terms: 28 + -28 = 0 0 + 20f = -31 + -28 20f = -31 + -28 Combine like terms: -31 + -28 = -59 20f = -59 Divide each side by '20'. f = -2.95 Simplifying f = -2.95
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