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Simplifying 145 = 10 + -5(1 + 2n) 145 = 10 + (1 * -5 + 2n * -5) 145 = 10 + (-5 + -10n) Combine like terms: 10 + -5 = 5 145 = 5 + -10n Solving 145 = 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. 145 + 10n = 5 + -10n + 10n Combine like terms: -10n + 10n = 0 145 + 10n = 5 + 0 145 + 10n = 5 Add '-145' to each side of the equation. 145 + -145 + 10n = 5 + -145 Combine like terms: 145 + -145 = 0 0 + 10n = 5 + -145 10n = 5 + -145 Combine like terms: 5 + -145 = -140 10n = -140 Divide each side by '10'. n = -14 Simplifying n = -14
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