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Simplifying 3m + -2n = 7(m + -1) + -4.8n Reorder the terms: 3m + -2n = 7(-1 + m) + -4.8n 3m + -2n = (-1 * 7 + m * 7) + -4.8n 3m + -2n = (-7 + 7m) + -4.8n Solving 3m + -2n = -7 + 7m + -4.8n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 3m + -7m + -2n = -7 + 7m + -7m + -4.8n Combine like terms: 3m + -7m = -4m -4m + -2n = -7 + 7m + -7m + -4.8n Combine like terms: 7m + -7m = 0 -4m + -2n = -7 + 0 + -4.8n -4m + -2n = -7 + -4.8n Add '2n' to each side of the equation. -4m + -2n + 2n = -7 + -4.8n + 2n Combine like terms: -2n + 2n = 0 -4m + 0 = -7 + -4.8n + 2n -4m = -7 + -4.8n + 2n Combine like terms: -4.8n + 2n = -2.8n -4m = -7 + -2.8n Divide each side by '-4'. m = 1.75 + 0.7n Simplifying m = 1.75 + 0.7n
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