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Simplifying m(2m + -5) + m = 2m(m + -6) + 16 Reorder the terms: m(-5 + 2m) + m = 2m(m + -6) + 16 (-5 * m + 2m * m) + m = 2m(m + -6) + 16 (-5m + 2m2) + m = 2m(m + -6) + 16 Reorder the terms: -5m + m + 2m2 = 2m(m + -6) + 16 Combine like terms: -5m + m = -4m -4m + 2m2 = 2m(m + -6) + 16 Reorder the terms: -4m + 2m2 = 2m(-6 + m) + 16 -4m + 2m2 = (-6 * 2m + m * 2m) + 16 -4m + 2m2 = (-12m + 2m2) + 16 Reorder the terms: -4m + 2m2 = 16 + -12m + 2m2 Add '-2m2' to each side of the equation. -4m + 2m2 + -2m2 = 16 + -12m + 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -4m + 0 = 16 + -12m + 2m2 + -2m2 -4m = 16 + -12m + 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -4m = 16 + -12m + 0 -4m = 16 + -12m Solving -4m = 16 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -4m + 12m = 16 + -12m + 12m Combine like terms: -4m + 12m = 8m 8m = 16 + -12m + 12m Combine like terms: -12m + 12m = 0 8m = 16 + 0 8m = 16 Divide each side by '8'. m = 2 Simplifying m = 2
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