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Simplifying -23 + 6n = 5(1 + 2n) -23 + 6n = (1 * 5 + 2n * 5) -23 + 6n = (5 + 10n) Solving -23 + 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. -23 + 6n + -10n = 5 + 10n + -10n Combine like terms: 6n + -10n = -4n -23 + -4n = 5 + 10n + -10n Combine like terms: 10n + -10n = 0 -23 + -4n = 5 + 0 -23 + -4n = 5 Add '23' to each side of the equation. -23 + 23 + -4n = 5 + 23 Combine like terms: -23 + 23 = 0 0 + -4n = 5 + 23 -4n = 5 + 23 Combine like terms: 5 + 23 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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