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Simplifying 4(m + -3) + 40 = 64 + -3(m + -2) Reorder the terms: 4(-3 + m) + 40 = 64 + -3(m + -2) (-3 * 4 + m * 4) + 40 = 64 + -3(m + -2) (-12 + 4m) + 40 = 64 + -3(m + -2) Reorder the terms: -12 + 40 + 4m = 64 + -3(m + -2) Combine like terms: -12 + 40 = 28 28 + 4m = 64 + -3(m + -2) Reorder the terms: 28 + 4m = 64 + -3(-2 + m) 28 + 4m = 64 + (-2 * -3 + m * -3) 28 + 4m = 64 + (6 + -3m) Combine like terms: 64 + 6 = 70 28 + 4m = 70 + -3m Solving 28 + 4m = 70 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 28 + 4m + 3m = 70 + -3m + 3m Combine like terms: 4m + 3m = 7m 28 + 7m = 70 + -3m + 3m Combine like terms: -3m + 3m = 0 28 + 7m = 70 + 0 28 + 7m = 70 Add '-28' to each side of the equation. 28 + -28 + 7m = 70 + -28 Combine like terms: 28 + -28 = 0 0 + 7m = 70 + -28 7m = 70 + -28 Combine like terms: 70 + -28 = 42 7m = 42 Divide each side by '7'. m = 6 Simplifying m = 6
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