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Simplifying 7(m + -4) + -1(m + -4) = 0 Reorder the terms: 7(-4 + m) + -1(m + -4) = 0 (-4 * 7 + m * 7) + -1(m + -4) = 0 (-28 + 7m) + -1(m + -4) = 0 Reorder the terms: -28 + 7m + -1(-4 + m) = 0 -28 + 7m + (-4 * -1 + m * -1) = 0 -28 + 7m + (4 + -1m) = 0 Reorder the terms: -28 + 4 + 7m + -1m = 0 Combine like terms: -28 + 4 = -24 -24 + 7m + -1m = 0 Combine like terms: 7m + -1m = 6m -24 + 6m = 0 Solving -24 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6m = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 6m = 0 + 24 6m = 0 + 24 Combine like terms: 0 + 24 = 24 6m = 24 Divide each side by '6'. m = 4 Simplifying m = 4
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