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Simplifying 4(n + -8) = 2(5n + 5) Reorder the terms: 4(-8 + n) = 2(5n + 5) (-8 * 4 + n * 4) = 2(5n + 5) (-32 + 4n) = 2(5n + 5) Reorder the terms: -32 + 4n = 2(5 + 5n) -32 + 4n = (5 * 2 + 5n * 2) -32 + 4n = (10 + 10n) Solving -32 + 4n = 10 + 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. -32 + 4n + -10n = 10 + 10n + -10n Combine like terms: 4n + -10n = -6n -32 + -6n = 10 + 10n + -10n Combine like terms: 10n + -10n = 0 -32 + -6n = 10 + 0 -32 + -6n = 10 Add '32' to each side of the equation. -32 + 32 + -6n = 10 + 32 Combine like terms: -32 + 32 = 0 0 + -6n = 10 + 32 -6n = 10 + 32 Combine like terms: 10 + 32 = 42 -6n = 42 Divide each side by '-6'. n = -7 Simplifying n = -7
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