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Simplifying 7(m + 3) + -6m = 3(m + 3) Reorder the terms: 7(3 + m) + -6m = 3(m + 3) (3 * 7 + m * 7) + -6m = 3(m + 3) (21 + 7m) + -6m = 3(m + 3) Combine like terms: 7m + -6m = 1m 21 + 1m = 3(m + 3) Reorder the terms: 21 + 1m = 3(3 + m) 21 + 1m = (3 * 3 + m * 3) 21 + 1m = (9 + 3m) Solving 21 + 1m = 9 + 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. 21 + 1m + -3m = 9 + 3m + -3m Combine like terms: 1m + -3m = -2m 21 + -2m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 21 + -2m = 9 + 0 21 + -2m = 9 Add '-21' to each side of the equation. 21 + -21 + -2m = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -2m = 9 + -21 -2m = 9 + -21 Combine like terms: 9 + -21 = -12 -2m = -12 Divide each side by '-2'. m = 6 Simplifying m = 6
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