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Simplifying 5m + -3(m + 1) = m + -7 Reorder the terms: 5m + -3(1 + m) = m + -7 5m + (1 * -3 + m * -3) = m + -7 5m + (-3 + -3m) = m + -7 Reorder the terms: -3 + 5m + -3m = m + -7 Combine like terms: 5m + -3m = 2m -3 + 2m = m + -7 Reorder the terms: -3 + 2m = -7 + m Solving -3 + 2m = -7 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -3 + 2m + -1m = -7 + m + -1m Combine like terms: 2m + -1m = 1m -3 + 1m = -7 + m + -1m Combine like terms: m + -1m = 0 -3 + 1m = -7 + 0 -3 + 1m = -7 Add '3' to each side of the equation. -3 + 3 + 1m = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 1m = -7 + 3 1m = -7 + 3 Combine like terms: -7 + 3 = -4 1m = -4 Divide each side by '1'. m = -4 Simplifying m = -4
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