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Simplifying 0.05(0.3m + 35n) + -0.8(0.09m) + -22n = 0 (0.3m * 0.05 + 35n * 0.05) + -0.8(0.09m) + -22n = 0 (0.015m + 1.75n) + -0.8(0.09m) + -22n = 0 Remove parenthesis around (0.09m) 0.015m + 1.75n + -0.8 * 0.09m + -22n = 0 Multiply -0.8 * 0.09 0.015m + 1.75n + -0.072m + -22n = 0 Reorder the terms: 0.015m + -0.072m + 1.75n + -22n = 0 Combine like terms: 0.015m + -0.072m = -0.057m -0.057m + 1.75n + -22n = 0 Combine like terms: 1.75n + -22n = -20.25n -0.057m + -20.25n = 0 Solving -0.057m + -20.25n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20.25n' to each side of the equation. -0.057m + -20.25n + 20.25n = 0 + 20.25n Combine like terms: -20.25n + 20.25n = 0.00 -0.057m + 0.00 = 0 + 20.25n -0.057m = 0 + 20.25n Remove the zero: -0.057m = 20.25n Divide each side by '-0.057'. m = -355.2631579n Simplifying m = -355.2631579n
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