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Simplifying (4m + -6) + -1(9 + 6n) = -21 Reorder the terms: (-6 + 4m) + -1(9 + 6n) = -21 Remove parenthesis around (-6 + 4m) -6 + 4m + -1(9 + 6n) = -21 -6 + 4m + (9 * -1 + 6n * -1) = -21 -6 + 4m + (-9 + -6n) = -21 Reorder the terms: -6 + -9 + 4m + -6n = -21 Combine like terms: -6 + -9 = -15 -15 + 4m + -6n = -21 Solving -15 + 4m + -6n = -21 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 4m + 15 + -6n = -21 + 15 Reorder the terms: -15 + 15 + 4m + -6n = -21 + 15 Combine like terms: -15 + 15 = 0 0 + 4m + -6n = -21 + 15 4m + -6n = -21 + 15 Combine like terms: -21 + 15 = -6 4m + -6n = -6 Add '6n' to each side of the equation. 4m + -6n + 6n = -6 + 6n Combine like terms: -6n + 6n = 0 4m + 0 = -6 + 6n 4m = -6 + 6n Divide each side by '4'. m = -1.5 + 1.5n Simplifying m = -1.5 + 1.5n
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