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Simplifying 5 + 2(8m + -3) = -23 + 5m Reorder the terms: 5 + 2(-3 + 8m) = -23 + 5m 5 + (-3 * 2 + 8m * 2) = -23 + 5m 5 + (-6 + 16m) = -23 + 5m Combine like terms: 5 + -6 = -1 -1 + 16m = -23 + 5m Solving -1 + 16m = -23 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -1 + 16m + -5m = -23 + 5m + -5m Combine like terms: 16m + -5m = 11m -1 + 11m = -23 + 5m + -5m Combine like terms: 5m + -5m = 0 -1 + 11m = -23 + 0 -1 + 11m = -23 Add '1' to each side of the equation. -1 + 1 + 11m = -23 + 1 Combine like terms: -1 + 1 = 0 0 + 11m = -23 + 1 11m = -23 + 1 Combine like terms: -23 + 1 = -22 11m = -22 Divide each side by '11'. m = -2 Simplifying m = -2
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