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Simplifying 12m + -7(m + 3) = 9 + 8(m + 3) Reorder the terms: 12m + -7(3 + m) = 9 + 8(m + 3) 12m + (3 * -7 + m * -7) = 9 + 8(m + 3) 12m + (-21 + -7m) = 9 + 8(m + 3) Reorder the terms: -21 + 12m + -7m = 9 + 8(m + 3) Combine like terms: 12m + -7m = 5m -21 + 5m = 9 + 8(m + 3) Reorder the terms: -21 + 5m = 9 + 8(3 + m) -21 + 5m = 9 + (3 * 8 + m * 8) -21 + 5m = 9 + (24 + 8m) Combine like terms: 9 + 24 = 33 -21 + 5m = 33 + 8m Solving -21 + 5m = 33 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -21 + 5m + -8m = 33 + 8m + -8m Combine like terms: 5m + -8m = -3m -21 + -3m = 33 + 8m + -8m Combine like terms: 8m + -8m = 0 -21 + -3m = 33 + 0 -21 + -3m = 33 Add '21' to each side of the equation. -21 + 21 + -3m = 33 + 21 Combine like terms: -21 + 21 = 0 0 + -3m = 33 + 21 -3m = 33 + 21 Combine like terms: 33 + 21 = 54 -3m = 54 Divide each side by '-3'. m = -18 Simplifying m = -18
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