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Simplifying -78 = 6(-4 + m) -78 = (-4 * 6 + m * 6) -78 = (-24 + 6m) Solving -78 = -24 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -78 + -6m = -24 + 6m + -6m Combine like terms: 6m + -6m = 0 -78 + -6m = -24 + 0 -78 + -6m = -24 Add '78' to each side of the equation. -78 + 78 + -6m = -24 + 78 Combine like terms: -78 + 78 = 0 0 + -6m = -24 + 78 -6m = -24 + 78 Combine like terms: -24 + 78 = 54 -6m = 54 Divide each side by '-6'. m = -9 Simplifying m = -9
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