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Simplifying -6n + -7 = 5(1 + -2n) Reorder the terms: -7 + -6n = 5(1 + -2n) -7 + -6n = (1 * 5 + -2n * 5) -7 + -6n = (5 + -10n) Solving -7 + -6n = 5 + -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. -7 + -6n + 10n = 5 + -10n + 10n Combine like terms: -6n + 10n = 4n -7 + 4n = 5 + -10n + 10n Combine like terms: -10n + 10n = 0 -7 + 4n = 5 + 0 -7 + 4n = 5 Add '7' to each side of the equation. -7 + 7 + 4n = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 4n = 5 + 7 4n = 5 + 7 Combine like terms: 5 + 7 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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