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Simplifying 8(1 + m) + 3 = 2(m + -5.50) (1 * 8 + m * 8) + 3 = 2(m + -5.50) (8 + 8m) + 3 = 2(m + -5.50) Reorder the terms: 8 + 3 + 8m = 2(m + -5.50) Combine like terms: 8 + 3 = 11 11 + 8m = 2(m + -5.50) Reorder the terms: 11 + 8m = 2(-5.50 + m) 11 + 8m = (-5.50 * 2 + m * 2) 11 + 8m = (-11 + 2m) Solving 11 + 8m = -11 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 11 + 8m + -2m = -11 + 2m + -2m Combine like terms: 8m + -2m = 6m 11 + 6m = -11 + 2m + -2m Combine like terms: 2m + -2m = 0 11 + 6m = -11 + 0 11 + 6m = -11 Add '-11' to each side of the equation. 11 + -11 + 6m = -11 + -11 Combine like terms: 11 + -11 = 0 0 + 6m = -11 + -11 6m = -11 + -11 Combine like terms: -11 + -11 = -22 6m = -22 Divide each side by '6'. m = -3.666666667 Simplifying m = -3.666666667
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