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Simplifying 0.7n + -15 + n = 1.2 + 1.5n + -9.2 Reorder the terms: -15 + 0.7n + n = 1.2 + 1.5n + -9.2 Combine like terms: 0.7n + n = 1.7n -15 + 1.7n = 1.2 + 1.5n + -9.2 Reorder the terms: -15 + 1.7n = 1.2 + -9.2 + 1.5n Combine like terms: 1.2 + -9.2 = -8 -15 + 1.7n = -8 + 1.5n Solving -15 + 1.7n = -8 + 1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5n' to each side of the equation. -15 + 1.7n + -1.5n = -8 + 1.5n + -1.5n Combine like terms: 1.7n + -1.5n = 0.2n -15 + 0.2n = -8 + 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 -15 + 0.2n = -8 + 0.0 -15 + 0.2n = -8 Add '15' to each side of the equation. -15 + 15 + 0.2n = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 0.2n = -8 + 15 0.2n = -8 + 15 Combine like terms: -8 + 15 = 7 0.2n = 7 Divide each side by '0.2'. n = 35 Simplifying n = 35
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