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Simplifying 1 + 3(m + -8) = 7 + -5(6m + 6) Reorder the terms: 1 + 3(-8 + m) = 7 + -5(6m + 6) 1 + (-8 * 3 + m * 3) = 7 + -5(6m + 6) 1 + (-24 + 3m) = 7 + -5(6m + 6) Combine like terms: 1 + -24 = -23 -23 + 3m = 7 + -5(6m + 6) Reorder the terms: -23 + 3m = 7 + -5(6 + 6m) -23 + 3m = 7 + (6 * -5 + 6m * -5) -23 + 3m = 7 + (-30 + -30m) Combine like terms: 7 + -30 = -23 -23 + 3m = -23 + -30m Add '23' to each side of the equation. -23 + 23 + 3m = -23 + 23 + -30m Combine like terms: -23 + 23 = 0 0 + 3m = -23 + 23 + -30m 3m = -23 + 23 + -30m Combine like terms: -23 + 23 = 0 3m = 0 + -30m 3m = -30m Solving 3m = -30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. 3m + 30m = -30m + 30m Combine like terms: 3m + 30m = 33m 33m = -30m + 30m Combine like terms: -30m + 30m = 0 33m = 0 Divide each side by '33'. m = 0 Simplifying m = 0
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