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Simplifying 2(1 + -5n) = -3n + 30 (1 * 2 + -5n * 2) = -3n + 30 (2 + -10n) = -3n + 30 Reorder the terms: 2 + -10n = 30 + -3n Solving 2 + -10n = 30 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 2 + -10n + 3n = 30 + -3n + 3n Combine like terms: -10n + 3n = -7n 2 + -7n = 30 + -3n + 3n Combine like terms: -3n + 3n = 0 2 + -7n = 30 + 0 2 + -7n = 30 Add '-2' to each side of the equation. 2 + -2 + -7n = 30 + -2 Combine like terms: 2 + -2 = 0 0 + -7n = 30 + -2 -7n = 30 + -2 Combine like terms: 30 + -2 = 28 -7n = 28 Divide each side by '-7'. n = -4 Simplifying n = -4
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