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Simplifying 2(3m + -7) + -4(m + 7) = 0 Reorder the terms: 2(-7 + 3m) + -4(m + 7) = 0 (-7 * 2 + 3m * 2) + -4(m + 7) = 0 (-14 + 6m) + -4(m + 7) = 0 Reorder the terms: -14 + 6m + -4(7 + m) = 0 -14 + 6m + (7 * -4 + m * -4) = 0 -14 + 6m + (-28 + -4m) = 0 Reorder the terms: -14 + -28 + 6m + -4m = 0 Combine like terms: -14 + -28 = -42 -42 + 6m + -4m = 0 Combine like terms: 6m + -4m = 2m -42 + 2m = 0 Solving -42 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 2m = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 2m = 0 + 42 2m = 0 + 42 Combine like terms: 0 + 42 = 42 2m = 42 Divide each side by '2'. m = 21 Simplifying m = 21
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