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Simplifying 7m + 5(-7m + 8) = 8m + -4(m + -2) Reorder the terms: 7m + 5(8 + -7m) = 8m + -4(m + -2) 7m + (8 * 5 + -7m * 5) = 8m + -4(m + -2) 7m + (40 + -35m) = 8m + -4(m + -2) Reorder the terms: 40 + 7m + -35m = 8m + -4(m + -2) Combine like terms: 7m + -35m = -28m 40 + -28m = 8m + -4(m + -2) Reorder the terms: 40 + -28m = 8m + -4(-2 + m) 40 + -28m = 8m + (-2 * -4 + m * -4) 40 + -28m = 8m + (8 + -4m) Reorder the terms: 40 + -28m = 8 + 8m + -4m Combine like terms: 8m + -4m = 4m 40 + -28m = 8 + 4m Solving 40 + -28m = 8 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 40 + -28m + -4m = 8 + 4m + -4m Combine like terms: -28m + -4m = -32m 40 + -32m = 8 + 4m + -4m Combine like terms: 4m + -4m = 0 40 + -32m = 8 + 0 40 + -32m = 8 Add '-40' to each side of the equation. 40 + -40 + -32m = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -32m = 8 + -40 -32m = 8 + -40 Combine like terms: 8 + -40 = -32 -32m = -32 Divide each side by '-32'. m = 1 Simplifying m = 1
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