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Simplifying 0.7(10 + n) = 0.9(n) (10 * 0.7 + n * 0.7) = 0.9(n) (7 + 0.7n) = 0.9(n) Solving 7 + 0.7n = 0.9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.9n' to each side of the equation. 7 + 0.7n + -0.9n = 0.9n + -0.9n Combine like terms: 0.7n + -0.9n = -0.2n 7 + -0.2n = 0.9n + -0.9n Combine like terms: 0.9n + -0.9n = 0.0 7 + -0.2n = 0.0 Add '-7' to each side of the equation. 7 + -7 + -0.2n = 0.0 + -7 Combine like terms: 7 + -7 = 0 0 + -0.2n = 0.0 + -7 -0.2n = 0.0 + -7 Combine like terms: 0.0 + -7 = -7 -0.2n = -7 Divide each side by '-0.2'. n = 35 Simplifying n = 35
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