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Simplifying -11.4m + -18.52 + -18.86 = -3(5.2m + -14.09) + 8.7m Reorder the terms: -18.52 + -18.86 + -11.4m = -3(5.2m + -14.09) + 8.7m Combine like terms: -18.52 + -18.86 = -37.38 -37.38 + -11.4m = -3(5.2m + -14.09) + 8.7m Reorder the terms: -37.38 + -11.4m = -3(-14.09 + 5.2m) + 8.7m -37.38 + -11.4m = (-14.09 * -3 + 5.2m * -3) + 8.7m -37.38 + -11.4m = (42.27 + -15.6m) + 8.7m Combine like terms: -15.6m + 8.7m = -6.9m -37.38 + -11.4m = 42.27 + -6.9m Solving -37.38 + -11.4m = 42.27 + -6.9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6.9m' to each side of the equation. -37.38 + -11.4m + 6.9m = 42.27 + -6.9m + 6.9m Combine like terms: -11.4m + 6.9m = -4.5m -37.38 + -4.5m = 42.27 + -6.9m + 6.9m Combine like terms: -6.9m + 6.9m = 0.0 -37.38 + -4.5m = 42.27 + 0.0 -37.38 + -4.5m = 42.27 Add '37.38' to each side of the equation. -37.38 + 37.38 + -4.5m = 42.27 + 37.38 Combine like terms: -37.38 + 37.38 = 0.00 0.00 + -4.5m = 42.27 + 37.38 -4.5m = 42.27 + 37.38 Combine like terms: 42.27 + 37.38 = 79.65 -4.5m = 79.65 Divide each side by '-4.5'. m = -17.7 Simplifying m = -17.7
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