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Simplifying -7(4m + -3) + 2 = 23 + 8m Reorder the terms: -7(-3 + 4m) + 2 = 23 + 8m (-3 * -7 + 4m * -7) + 2 = 23 + 8m (21 + -28m) + 2 = 23 + 8m Reorder the terms: 21 + 2 + -28m = 23 + 8m Combine like terms: 21 + 2 = 23 23 + -28m = 23 + 8m Add '-23' to each side of the equation. 23 + -23 + -28m = 23 + -23 + 8m Combine like terms: 23 + -23 = 0 0 + -28m = 23 + -23 + 8m -28m = 23 + -23 + 8m Combine like terms: 23 + -23 = 0 -28m = 0 + 8m -28m = 8m Solving -28m = 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. -28m + -8m = 8m + -8m Combine like terms: -28m + -8m = -36m -36m = 8m + -8m Combine like terms: 8m + -8m = 0 -36m = 0 Divide each side by '-36'. m = 0 Simplifying m = 0
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