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Simplifying 5(m + -23) + -6(4m + -12) = 90 Reorder the terms: 5(-23 + m) + -6(4m + -12) = 90 (-23 * 5 + m * 5) + -6(4m + -12) = 90 (-115 + 5m) + -6(4m + -12) = 90 Reorder the terms: -115 + 5m + -6(-12 + 4m) = 90 -115 + 5m + (-12 * -6 + 4m * -6) = 90 -115 + 5m + (72 + -24m) = 90 Reorder the terms: -115 + 72 + 5m + -24m = 90 Combine like terms: -115 + 72 = -43 -43 + 5m + -24m = 90 Combine like terms: 5m + -24m = -19m -43 + -19m = 90 Solving -43 + -19m = 90 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -19m = 90 + 43 Combine like terms: -43 + 43 = 0 0 + -19m = 90 + 43 -19m = 90 + 43 Combine like terms: 90 + 43 = 133 -19m = 133 Divide each side by '-19'. m = -7 Simplifying m = -7
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