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Simplifying 9 + -2(m + -5) = 4(m + -2) Reorder the terms: 9 + -2(-5 + m) = 4(m + -2) 9 + (-5 * -2 + m * -2) = 4(m + -2) 9 + (10 + -2m) = 4(m + -2) Combine like terms: 9 + 10 = 19 19 + -2m = 4(m + -2) Reorder the terms: 19 + -2m = 4(-2 + m) 19 + -2m = (-2 * 4 + m * 4) 19 + -2m = (-8 + 4m) Solving 19 + -2m = -8 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 19 + -2m + -4m = -8 + 4m + -4m Combine like terms: -2m + -4m = -6m 19 + -6m = -8 + 4m + -4m Combine like terms: 4m + -4m = 0 19 + -6m = -8 + 0 19 + -6m = -8 Add '-19' to each side of the equation. 19 + -19 + -6m = -8 + -19 Combine like terms: 19 + -19 = 0 0 + -6m = -8 + -19 -6m = -8 + -19 Combine like terms: -8 + -19 = -27 -6m = -27 Divide each side by '-6'. m = 4.5 Simplifying m = 4.5
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