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Simplifying 0.7n + -15 + n = 2n + -8 + -0.4n Reorder the terms: -15 + 0.7n + n = 2n + -8 + -0.4n Combine like terms: 0.7n + n = 1.7n -15 + 1.7n = 2n + -8 + -0.4n Reorder the terms: -15 + 1.7n = -8 + 2n + -0.4n Combine like terms: 2n + -0.4n = 1.6n -15 + 1.7n = -8 + 1.6n Solving -15 + 1.7n = -8 + 1.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.6n' to each side of the equation. -15 + 1.7n + -1.6n = -8 + 1.6n + -1.6n Combine like terms: 1.7n + -1.6n = 0.1n -15 + 0.1n = -8 + 1.6n + -1.6n Combine like terms: 1.6n + -1.6n = 0.0 -15 + 0.1n = -8 + 0.0 -15 + 0.1n = -8 Add '15' to each side of the equation. -15 + 15 + 0.1n = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 0.1n = -8 + 15 0.1n = -8 + 15 Combine like terms: -8 + 15 = 7 0.1n = 7 Divide each side by '0.1'. n = 70 Simplifying n = 70
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