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Simplifying -4 + 6m + 3 = -4m + -43 + -4m Reorder the terms: -4 + 3 + 6m = -4m + -43 + -4m Combine like terms: -4 + 3 = -1 -1 + 6m = -4m + -43 + -4m Reorder the terms: -1 + 6m = -43 + -4m + -4m Combine like terms: -4m + -4m = -8m -1 + 6m = -43 + -8m Solving -1 + 6m = -43 + -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. -1 + 6m + 8m = -43 + -8m + 8m Combine like terms: 6m + 8m = 14m -1 + 14m = -43 + -8m + 8m Combine like terms: -8m + 8m = 0 -1 + 14m = -43 + 0 -1 + 14m = -43 Add '1' to each side of the equation. -1 + 1 + 14m = -43 + 1 Combine like terms: -1 + 1 = 0 0 + 14m = -43 + 1 14m = -43 + 1 Combine like terms: -43 + 1 = -42 14m = -42 Divide each side by '14'. m = -3 Simplifying m = -3
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