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Simplifying -4(2m + -9) + (m + -4) = 11 + 7 Reorder the terms: -4(-9 + 2m) + (m + -4) = 11 + 7 (-9 * -4 + 2m * -4) + (m + -4) = 11 + 7 (36 + -8m) + (m + -4) = 11 + 7 Reorder the terms: 36 + -8m + (-4 + m) = 11 + 7 Remove parenthesis around (-4 + m) 36 + -8m + -4 + m = 11 + 7 Reorder the terms: 36 + -4 + -8m + m = 11 + 7 Combine like terms: 36 + -4 = 32 32 + -8m + m = 11 + 7 Combine like terms: -8m + m = -7m 32 + -7m = 11 + 7 Combine like terms: 11 + 7 = 18 32 + -7m = 18 Solving 32 + -7m = 18 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -7m = 18 + -32 Combine like terms: 32 + -32 = 0 0 + -7m = 18 + -32 -7m = 18 + -32 Combine like terms: 18 + -32 = -14 -7m = -14 Divide each side by '-7'. m = 2 Simplifying m = 2
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