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Simplifying 6(n + 22) = 5(2n + -4) Reorder the terms: 6(22 + n) = 5(2n + -4) (22 * 6 + n * 6) = 5(2n + -4) (132 + 6n) = 5(2n + -4) Reorder the terms: 132 + 6n = 5(-4 + 2n) 132 + 6n = (-4 * 5 + 2n * 5) 132 + 6n = (-20 + 10n) Solving 132 + 6n = -20 + 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. 132 + 6n + -10n = -20 + 10n + -10n Combine like terms: 6n + -10n = -4n 132 + -4n = -20 + 10n + -10n Combine like terms: 10n + -10n = 0 132 + -4n = -20 + 0 132 + -4n = -20 Add '-132' to each side of the equation. 132 + -132 + -4n = -20 + -132 Combine like terms: 132 + -132 = 0 0 + -4n = -20 + -132 -4n = -20 + -132 Combine like terms: -20 + -132 = -152 -4n = -152 Divide each side by '-4'. n = 38 Simplifying n = 38
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