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Simplifying 5(m + 1) = 7(1 + -1) Reorder the terms: 5(1 + m) = 7(1 + -1) (1 * 5 + m * 5) = 7(1 + -1) (5 + 5m) = 7(1 + -1) Combine like terms: 1 + -1 = 0 5 + 5m = 7(0) Multiply 7 * 0 5 + 5m = 0 Anything times zero is zero. 5 + 5m = 0 Solving 5 + 5m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5m = 0 + -5 5m = 0 + -5 Combine like terms: 0 + -5 = -5 5m = -5 Divide each side by '5'. m = -1 Simplifying m = -1
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