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Simplifying -6 + 4(n + -4) = 5(2n + 4) Reorder the terms: -6 + 4(-4 + n) = 5(2n + 4) -6 + (-4 * 4 + n * 4) = 5(2n + 4) -6 + (-16 + 4n) = 5(2n + 4) Combine like terms: -6 + -16 = -22 -22 + 4n = 5(2n + 4) Reorder the terms: -22 + 4n = 5(4 + 2n) -22 + 4n = (4 * 5 + 2n * 5) -22 + 4n = (20 + 10n) Solving -22 + 4n = 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. -22 + 4n + -10n = 20 + 10n + -10n Combine like terms: 4n + -10n = -6n -22 + -6n = 20 + 10n + -10n Combine like terms: 10n + -10n = 0 -22 + -6n = 20 + 0 -22 + -6n = 20 Add '22' to each side of the equation. -22 + 22 + -6n = 20 + 22 Combine like terms: -22 + 22 = 0 0 + -6n = 20 + 22 -6n = 20 + 22 Combine like terms: 20 + 22 = 42 -6n = 42 Divide each side by '-6'. n = -7 Simplifying n = -7
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