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Simplifying 43 = 4(-2m + 4) + 3 Reorder the terms: 43 = 4(4 + -2m) + 3 43 = (4 * 4 + -2m * 4) + 3 43 = (16 + -8m) + 3 Reorder the terms: 43 = 16 + 3 + -8m Combine like terms: 16 + 3 = 19 43 = 19 + -8m Solving 43 = 19 + -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. 43 + 8m = 19 + -8m + 8m Combine like terms: -8m + 8m = 0 43 + 8m = 19 + 0 43 + 8m = 19 Add '-43' to each side of the equation. 43 + -43 + 8m = 19 + -43 Combine like terms: 43 + -43 = 0 0 + 8m = 19 + -43 8m = 19 + -43 Combine like terms: 19 + -43 = -24 8m = -24 Divide each side by '8'. m = -3 Simplifying m = -3
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