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Simplifying 19 + -3(m + 4) + 4m = 42 + -18 Reorder the terms: 19 + -3(4 + m) + 4m = 42 + -18 19 + (4 * -3 + m * -3) + 4m = 42 + -18 19 + (-12 + -3m) + 4m = 42 + -18 Combine like terms: 19 + -12 = 7 7 + -3m + 4m = 42 + -18 Combine like terms: -3m + 4m = 1m 7 + 1m = 42 + -18 Combine like terms: 42 + -18 = 24 7 + 1m = 24 Solving 7 + 1m = 24 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1m = 24 + -7 Combine like terms: 7 + -7 = 0 0 + 1m = 24 + -7 1m = 24 + -7 Combine like terms: 24 + -7 = 17 1m = 17 Divide each side by '1'. m = 17 Simplifying m = 17
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