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Simplifying -7(4m + 2n + 6) = 0 Reorder the terms: -7(6 + 4m + 2n) = 0 (6 * -7 + 4m * -7 + 2n * -7) = 0 (-42 + -28m + -14n) = 0 Solving -42 + -28m + -14n = 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 + -28m + 42 + -14n = 0 + 42 Reorder the terms: -42 + 42 + -28m + -14n = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -28m + -14n = 0 + 42 -28m + -14n = 0 + 42 Combine like terms: 0 + 42 = 42 -28m + -14n = 42 Add '14n' to each side of the equation. -28m + -14n + 14n = 42 + 14n Combine like terms: -14n + 14n = 0 -28m + 0 = 42 + 14n -28m = 42 + 14n Divide each side by '-28'. m = -1.5 + -0.5n Simplifying m = -1.5 + -0.5n
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