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Simplifying 18 = -3(22 + -1m) + 3(m + -4) 18 = (22 * -3 + -1m * -3) + 3(m + -4) 18 = (-66 + 3m) + 3(m + -4) Reorder the terms: 18 = -66 + 3m + 3(-4 + m) 18 = -66 + 3m + (-4 * 3 + m * 3) 18 = -66 + 3m + (-12 + 3m) Reorder the terms: 18 = -66 + -12 + 3m + 3m Combine like terms: -66 + -12 = -78 18 = -78 + 3m + 3m Combine like terms: 3m + 3m = 6m 18 = -78 + 6m Solving 18 = -78 + 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. 18 + -6m = -78 + 6m + -6m Combine like terms: 6m + -6m = 0 18 + -6m = -78 + 0 18 + -6m = -78 Add '-18' to each side of the equation. 18 + -18 + -6m = -78 + -18 Combine like terms: 18 + -18 = 0 0 + -6m = -78 + -18 -6m = -78 + -18 Combine like terms: -78 + -18 = -96 -6m = -96 Divide each side by '-6'. m = 16 Simplifying m = 16
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