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Simplifying 30 + 6m = 3 + -7(5 + 8m) 30 + 6m = 3 + (5 * -7 + 8m * -7) 30 + 6m = 3 + (-35 + -56m) Combine like terms: 3 + -35 = -32 30 + 6m = -32 + -56m Solving 30 + 6m = -32 + -56m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '56m' to each side of the equation. 30 + 6m + 56m = -32 + -56m + 56m Combine like terms: 6m + 56m = 62m 30 + 62m = -32 + -56m + 56m Combine like terms: -56m + 56m = 0 30 + 62m = -32 + 0 30 + 62m = -32 Add '-30' to each side of the equation. 30 + -30 + 62m = -32 + -30 Combine like terms: 30 + -30 = 0 0 + 62m = -32 + -30 62m = -32 + -30 Combine like terms: -32 + -30 = -62 62m = -62 Divide each side by '62'. m = -1 Simplifying m = -1
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