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Simplifying 10 = 3(1 + 3n) + -2n 10 = (1 * 3 + 3n * 3) + -2n 10 = (3 + 9n) + -2n Combine like terms: 9n + -2n = 7n 10 = 3 + 7n Solving 10 = 3 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 10 + -7n = 3 + 7n + -7n Combine like terms: 7n + -7n = 0 10 + -7n = 3 + 0 10 + -7n = 3 Add '-10' to each side of the equation. 10 + -10 + -7n = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -7n = 3 + -10 -7n = 3 + -10 Combine like terms: 3 + -10 = -7 -7n = -7 Divide each side by '-7'. n = 1 Simplifying n = 1
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