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Simplifying 8 + 11(m + 5) = 6m + 33 Reorder the terms: 8 + 11(5 + m) = 6m + 33 8 + (5 * 11 + m * 11) = 6m + 33 8 + (55 + 11m) = 6m + 33 Combine like terms: 8 + 55 = 63 63 + 11m = 6m + 33 Reorder the terms: 63 + 11m = 33 + 6m Solving 63 + 11m = 33 + 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. 63 + 11m + -6m = 33 + 6m + -6m Combine like terms: 11m + -6m = 5m 63 + 5m = 33 + 6m + -6m Combine like terms: 6m + -6m = 0 63 + 5m = 33 + 0 63 + 5m = 33 Add '-63' to each side of the equation. 63 + -63 + 5m = 33 + -63 Combine like terms: 63 + -63 = 0 0 + 5m = 33 + -63 5m = 33 + -63 Combine like terms: 33 + -63 = -30 5m = -30 Divide each side by '5'. m = -6 Simplifying m = -6
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