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Simplifying 20 + 2m = -6 + -5(m + 6) Reorder the terms: 20 + 2m = -6 + -5(6 + m) 20 + 2m = -6 + (6 * -5 + m * -5) 20 + 2m = -6 + (-30 + -5m) Combine like terms: -6 + -30 = -36 20 + 2m = -36 + -5m Solving 20 + 2m = -36 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 20 + 2m + 5m = -36 + -5m + 5m Combine like terms: 2m + 5m = 7m 20 + 7m = -36 + -5m + 5m Combine like terms: -5m + 5m = 0 20 + 7m = -36 + 0 20 + 7m = -36 Add '-20' to each side of the equation. 20 + -20 + 7m = -36 + -20 Combine like terms: 20 + -20 = 0 0 + 7m = -36 + -20 7m = -36 + -20 Combine like terms: -36 + -20 = -56 7m = -56 Divide each side by '7'. m = -8 Simplifying m = -8
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