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Simplifying 3(m + -8) + 6(m + -19) = 6 Reorder the terms: 3(-8 + m) + 6(m + -19) = 6 (-8 * 3 + m * 3) + 6(m + -19) = 6 (-24 + 3m) + 6(m + -19) = 6 Reorder the terms: -24 + 3m + 6(-19 + m) = 6 -24 + 3m + (-19 * 6 + m * 6) = 6 -24 + 3m + (-114 + 6m) = 6 Reorder the terms: -24 + -114 + 3m + 6m = 6 Combine like terms: -24 + -114 = -138 -138 + 3m + 6m = 6 Combine like terms: 3m + 6m = 9m -138 + 9m = 6 Solving -138 + 9m = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '138' to each side of the equation. -138 + 138 + 9m = 6 + 138 Combine like terms: -138 + 138 = 0 0 + 9m = 6 + 138 9m = 6 + 138 Combine like terms: 6 + 138 = 144 9m = 144 Divide each side by '9'. m = 16 Simplifying m = 16
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