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Simplifying -5.25(2m + 1) = 6m + 176.25 Reorder the terms: -5.25(1 + 2m) = 6m + 176.25 (1 * -5.25 + 2m * -5.25) = 6m + 176.25 (-5.25 + -10.5m) = 6m + 176.25 Reorder the terms: -5.25 + -10.5m = 176.25 + 6m Solving -5.25 + -10.5m = 176.25 + 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. -5.25 + -10.5m + -6m = 176.25 + 6m + -6m Combine like terms: -10.5m + -6m = -16.5m -5.25 + -16.5m = 176.25 + 6m + -6m Combine like terms: 6m + -6m = 0 -5.25 + -16.5m = 176.25 + 0 -5.25 + -16.5m = 176.25 Add '5.25' to each side of the equation. -5.25 + 5.25 + -16.5m = 176.25 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + -16.5m = 176.25 + 5.25 -16.5m = 176.25 + 5.25 Combine like terms: 176.25 + 5.25 = 181.5 -16.5m = 181.5 Divide each side by '-16.5'. m = -11 Simplifying m = -11
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