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Simplifying 3(m + -10) + 4(m + -19) = 13 Reorder the terms: 3(-10 + m) + 4(m + -19) = 13 (-10 * 3 + m * 3) + 4(m + -19) = 13 (-30 + 3m) + 4(m + -19) = 13 Reorder the terms: -30 + 3m + 4(-19 + m) = 13 -30 + 3m + (-19 * 4 + m * 4) = 13 -30 + 3m + (-76 + 4m) = 13 Reorder the terms: -30 + -76 + 3m + 4m = 13 Combine like terms: -30 + -76 = -106 -106 + 3m + 4m = 13 Combine like terms: 3m + 4m = 7m -106 + 7m = 13 Solving -106 + 7m = 13 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 106 + 7m = 13 + 106 Combine like terms: -106 + 106 = 0 0 + 7m = 13 + 106 7m = 13 + 106 Combine like terms: 13 + 106 = 119 7m = 119 Divide each side by '7'. m = 17 Simplifying m = 17
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