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Simplifying 7m + 5(8m + 11) = 6 + -2(11 + 12) Reorder the terms: 7m + 5(11 + 8m) = 6 + -2(11 + 12) 7m + (11 * 5 + 8m * 5) = 6 + -2(11 + 12) 7m + (55 + 40m) = 6 + -2(11 + 12) Reorder the terms: 55 + 7m + 40m = 6 + -2(11 + 12) Combine like terms: 7m + 40m = 47m 55 + 47m = 6 + -2(11 + 12) Combine like terms: 11 + 12 = 23 55 + 47m = 6 + -2(23) Multiply -2 * 23 55 + 47m = 6 + -46 Combine like terms: 6 + -46 = -40 55 + 47m = -40 Solving 55 + 47m = -40 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 47m = -40 + -55 Combine like terms: 55 + -55 = 0 0 + 47m = -40 + -55 47m = -40 + -55 Combine like terms: -40 + -55 = -95 47m = -95 Divide each side by '47'. m = -2.021276596 Simplifying m = -2.021276596
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