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Simplifying 0.05(0.3n + 35n) + -0.8(-0.09n + -22m) = 0 Combine like terms: 0.3n + 35n = 35.3n 0.05(35.3n) + -0.8(-0.09n + -22m) = 0 Remove parenthesis around (35.3n) 0.05 * 35.3n + -0.8(-0.09n + -22m) = 0 Multiply 0.05 * 35.3 1.765n + -0.8(-0.09n + -22m) = 0 Reorder the terms: 1.765n + -0.8(-22m + -0.09n) = 0 1.765n + (-22m * -0.8 + -0.09n * -0.8) = 0 1.765n + (17.6m + 0.072n) = 0 Reorder the terms: 17.6m + 1.765n + 0.072n = 0 Combine like terms: 1.765n + 0.072n = 1.837n 17.6m + 1.837n = 0 Solving 17.6m + 1.837n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.837n' to each side of the equation. 17.6m + 1.837n + -1.837n = 0 + -1.837n Combine like terms: 1.837n + -1.837n = 0.000 17.6m + 0.000 = 0 + -1.837n 17.6m = 0 + -1.837n Remove the zero: 17.6m = -1.837n Divide each side by '17.6'. m = -0.104375n Simplifying m = -0.104375n
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