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Simplifying 8(m + 2) = -6(m + 7) Reorder the terms: 8(2 + m) = -6(m + 7) (2 * 8 + m * 8) = -6(m + 7) (16 + 8m) = -6(m + 7) Reorder the terms: 16 + 8m = -6(7 + m) 16 + 8m = (7 * -6 + m * -6) 16 + 8m = (-42 + -6m) Solving 16 + 8m = -42 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 16 + 8m + 6m = -42 + -6m + 6m Combine like terms: 8m + 6m = 14m 16 + 14m = -42 + -6m + 6m Combine like terms: -6m + 6m = 0 16 + 14m = -42 + 0 16 + 14m = -42 Add '-16' to each side of the equation. 16 + -16 + 14m = -42 + -16 Combine like terms: 16 + -16 = 0 0 + 14m = -42 + -16 14m = -42 + -16 Combine like terms: -42 + -16 = -58 14m = -58 Divide each side by '14'. m = -4.142857143 Simplifying m = -4.142857143
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