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Simplifying 8(-1 + m) + 3 = 2[m + -5.5] (-1 * 8 + m * 8) + 3 = 2[m + -5.5] (-8 + 8m) + 3 = 2[m + -5.5] Reorder the terms: -8 + 3 + 8m = 2[m + -5.5] Combine like terms: -8 + 3 = -5 -5 + 8m = 2[m + -5.5] Reorder the terms: -5 + 8m = 2[-5.5 + m] -5 + 8m = [-5.5 * 2 + m * 2] -5 + 8m = [-11 + 2m] Solving -5 + 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. -5 + 8m + -2m = -11 + 2m + -2m Combine like terms: 8m + -2m = 6m -5 + 6m = -11 + 2m + -2m Combine like terms: 2m + -2m = 0 -5 + 6m = -11 + 0 -5 + 6m = -11 Add '5' to each side of the equation. -5 + 5 + 6m = -11 + 5 Combine like terms: -5 + 5 = 0 0 + 6m = -11 + 5 6m = -11 + 5 Combine like terms: -11 + 5 = -6 6m = -6 Divide each side by '6'. m = -1 Simplifying m = -1
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