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Simplifying -29.2 = 1.7n + 5.8 + 5.3n Reorder the terms: -29.2 = 5.8 + 1.7n + 5.3n Combine like terms: 1.7n + 5.3n = 7n -29.2 = 5.8 + 7n Solving -29.2 = 5.8 + 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. -29.2 + -7n = 5.8 + 7n + -7n Combine like terms: 7n + -7n = 0 -29.2 + -7n = 5.8 + 0 -29.2 + -7n = 5.8 Add '29.2' to each side of the equation. -29.2 + 29.2 + -7n = 5.8 + 29.2 Combine like terms: -29.2 + 29.2 = 0.0 0.0 + -7n = 5.8 + 29.2 -7n = 5.8 + 29.2 Combine like terms: 5.8 + 29.2 = 35 -7n = 35 Divide each side by '-7'. n = -5 Simplifying n = -5
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