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Simplifying -7[1 + -4m] = 13[2m + -3] [1 * -7 + -4m * -7] = 13[2m + -3] [-7 + 28m] = 13[2m + -3] Reorder the terms: -7 + 28m = 13[-3 + 2m] -7 + 28m = [-3 * 13 + 2m * 13] -7 + 28m = [-39 + 26m] Solving -7 + 28m = -39 + 26m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-26m' to each side of the equation. -7 + 28m + -26m = -39 + 26m + -26m Combine like terms: 28m + -26m = 2m -7 + 2m = -39 + 26m + -26m Combine like terms: 26m + -26m = 0 -7 + 2m = -39 + 0 -7 + 2m = -39 Add '7' to each side of the equation. -7 + 7 + 2m = -39 + 7 Combine like terms: -7 + 7 = 0 0 + 2m = -39 + 7 2m = -39 + 7 Combine like terms: -39 + 7 = -32 2m = -32 Divide each side by '2'. m = -16 Simplifying m = -16
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