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Simplifying -7(3m + -3n + 6) = 0 Reorder the terms: -7(6 + 3m + -3n) = 0 (6 * -7 + 3m * -7 + -3n * -7) = 0 (-42 + -21m + 21n) = 0 Solving -42 + -21m + 21n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '42' to each side of the equation. -42 + -21m + 42 + 21n = 0 + 42 Reorder the terms: -42 + 42 + -21m + 21n = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -21m + 21n = 0 + 42 -21m + 21n = 0 + 42 Combine like terms: 0 + 42 = 42 -21m + 21n = 42 Add '-21n' to each side of the equation. -21m + 21n + -21n = 42 + -21n Combine like terms: 21n + -21n = 0 -21m + 0 = 42 + -21n -21m = 42 + -21n Divide each side by '-21'. m = -2 + n Simplifying m = -2 + n
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