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Simplifying 3n + -11 = 7 + 2(5n + 5) Reorder the terms: -11 + 3n = 7 + 2(5n + 5) Reorder the terms: -11 + 3n = 7 + 2(5 + 5n) -11 + 3n = 7 + (5 * 2 + 5n * 2) -11 + 3n = 7 + (10 + 10n) Combine like terms: 7 + 10 = 17 -11 + 3n = 17 + 10n Solving -11 + 3n = 17 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -11 + 3n + -10n = 17 + 10n + -10n Combine like terms: 3n + -10n = -7n -11 + -7n = 17 + 10n + -10n Combine like terms: 10n + -10n = 0 -11 + -7n = 17 + 0 -11 + -7n = 17 Add '11' to each side of the equation. -11 + 11 + -7n = 17 + 11 Combine like terms: -11 + 11 = 0 0 + -7n = 17 + 11 -7n = 17 + 11 Combine like terms: 17 + 11 = 28 -7n = 28 Divide each side by '-7'. n = -4 Simplifying n = -4
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