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Simplifying 3(m + -22) = 30 + -3(m + -2) Reorder the terms: 3(-22 + m) = 30 + -3(m + -2) (-22 * 3 + m * 3) = 30 + -3(m + -2) (-66 + 3m) = 30 + -3(m + -2) Reorder the terms: -66 + 3m = 30 + -3(-2 + m) -66 + 3m = 30 + (-2 * -3 + m * -3) -66 + 3m = 30 + (6 + -3m) Combine like terms: 30 + 6 = 36 -66 + 3m = 36 + -3m Solving -66 + 3m = 36 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -66 + 3m + 3m = 36 + -3m + 3m Combine like terms: 3m + 3m = 6m -66 + 6m = 36 + -3m + 3m Combine like terms: -3m + 3m = 0 -66 + 6m = 36 + 0 -66 + 6m = 36 Add '66' to each side of the equation. -66 + 66 + 6m = 36 + 66 Combine like terms: -66 + 66 = 0 0 + 6m = 36 + 66 6m = 36 + 66 Combine like terms: 36 + 66 = 102 6m = 102 Divide each side by '6'. m = 17 Simplifying m = 17
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