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Simplifying 6(2m + -3) + -4 = 6m + -4 Reorder the terms: 6(-3 + 2m) + -4 = 6m + -4 (-3 * 6 + 2m * 6) + -4 = 6m + -4 (-18 + 12m) + -4 = 6m + -4 Reorder the terms: -18 + -4 + 12m = 6m + -4 Combine like terms: -18 + -4 = -22 -22 + 12m = 6m + -4 Reorder the terms: -22 + 12m = -4 + 6m Solving -22 + 12m = -4 + 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. -22 + 12m + -6m = -4 + 6m + -6m Combine like terms: 12m + -6m = 6m -22 + 6m = -4 + 6m + -6m Combine like terms: 6m + -6m = 0 -22 + 6m = -4 + 0 -22 + 6m = -4 Add '22' to each side of the equation. -22 + 22 + 6m = -4 + 22 Combine like terms: -22 + 22 = 0 0 + 6m = -4 + 22 6m = -4 + 22 Combine like terms: -4 + 22 = 18 6m = 18 Divide each side by '6'. m = 3 Simplifying m = 3
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