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Simplifying 7n + -3(m + 4) = -6n + -12 Reorder the terms: 7n + -3(4 + m) = -6n + -12 7n + (4 * -3 + m * -3) = -6n + -12 7n + (-12 + -3m) = -6n + -12 Reorder the terms: -12 + -3m + 7n = -6n + -12 Reorder the terms: -12 + -3m + 7n = -12 + -6n Add '12' to each side of the equation. -12 + -3m + 12 + 7n = -12 + 12 + -6n Reorder the terms: -12 + 12 + -3m + 7n = -12 + 12 + -6n Combine like terms: -12 + 12 = 0 0 + -3m + 7n = -12 + 12 + -6n -3m + 7n = -12 + 12 + -6n Combine like terms: -12 + 12 = 0 -3m + 7n = 0 + -6n -3m + 7n = -6n Solving -3m + 7n = -6n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. -3m + 7n + -7n = -6n + -7n Combine like terms: 7n + -7n = 0 -3m + 0 = -6n + -7n -3m = -6n + -7n Combine like terms: -6n + -7n = -13n -3m = -13n Divide each side by '-3'. m = 4.333333333n Simplifying m = 4.333333333n
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