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Simplifying 7(7n + 20) = -16 + 10n Reorder the terms: 7(20 + 7n) = -16 + 10n (20 * 7 + 7n * 7) = -16 + 10n (140 + 49n) = -16 + 10n Solving 140 + 49n = -16 + 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. 140 + 49n + -10n = -16 + 10n + -10n Combine like terms: 49n + -10n = 39n 140 + 39n = -16 + 10n + -10n Combine like terms: 10n + -10n = 0 140 + 39n = -16 + 0 140 + 39n = -16 Add '-140' to each side of the equation. 140 + -140 + 39n = -16 + -140 Combine like terms: 140 + -140 = 0 0 + 39n = -16 + -140 39n = -16 + -140 Combine like terms: -16 + -140 = -156 39n = -156 Divide each side by '39'. n = -4 Simplifying n = -4
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