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Simplifying 6(m + -4r) + -2(2m + 7r) = 0 (m * 6 + -4r * 6) + -2(2m + 7r) = 0 (6m + -24r) + -2(2m + 7r) = 0 6m + -24r + (2m * -2 + 7r * -2) = 0 6m + -24r + (-4m + -14r) = 0 Reorder the terms: 6m + -4m + -24r + -14r = 0 Combine like terms: 6m + -4m = 2m 2m + -24r + -14r = 0 Combine like terms: -24r + -14r = -38r 2m + -38r = 0 Solving 2m + -38r = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '38r' to each side of the equation. 2m + -38r + 38r = 0 + 38r Combine like terms: -38r + 38r = 0 2m + 0 = 0 + 38r 2m = 0 + 38r Remove the zero: 2m = 38r Divide each side by '2'. m = 19r Simplifying m = 19r
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