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Simplifying 7(5m + -4) + -1 = 14 + -8m Reorder the terms: 7(-4 + 5m) + -1 = 14 + -8m (-4 * 7 + 5m * 7) + -1 = 14 + -8m (-28 + 35m) + -1 = 14 + -8m Reorder the terms: -28 + -1 + 35m = 14 + -8m Combine like terms: -28 + -1 = -29 -29 + 35m = 14 + -8m Solving -29 + 35m = 14 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -29 + 35m + 8m = 14 + -8m + 8m Combine like terms: 35m + 8m = 43m -29 + 43m = 14 + -8m + 8m Combine like terms: -8m + 8m = 0 -29 + 43m = 14 + 0 -29 + 43m = 14 Add '29' to each side of the equation. -29 + 29 + 43m = 14 + 29 Combine like terms: -29 + 29 = 0 0 + 43m = 14 + 29 43m = 14 + 29 Combine like terms: 14 + 29 = 43 43m = 43 Divide each side by '43'. m = 1 Simplifying m = 1
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