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Simplifying 5m + 3 = -3(m + 7) Reorder the terms: 3 + 5m = -3(m + 7) Reorder the terms: 3 + 5m = -3(7 + m) 3 + 5m = (7 * -3 + m * -3) 3 + 5m = (-21 + -3m) Solving 3 + 5m = -21 + -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. 3 + 5m + 3m = -21 + -3m + 3m Combine like terms: 5m + 3m = 8m 3 + 8m = -21 + -3m + 3m Combine like terms: -3m + 3m = 0 3 + 8m = -21 + 0 3 + 8m = -21 Add '-3' to each side of the equation. 3 + -3 + 8m = -21 + -3 Combine like terms: 3 + -3 = 0 0 + 8m = -21 + -3 8m = -21 + -3 Combine like terms: -21 + -3 = -24 8m = -24 Divide each side by '8'. m = -3 Simplifying m = -3
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