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Simplifying -32 + -6n = 2 + 2(-5n + -1) Reorder the terms: -32 + -6n = 2 + 2(-1 + -5n) -32 + -6n = 2 + (-1 * 2 + -5n * 2) -32 + -6n = 2 + (-2 + -10n) Combine like terms: 2 + -2 = 0 -32 + -6n = 0 + -10n -32 + -6n = -10n Solving -32 + -6n = -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 + -6n + 10n = -10n + 10n Combine like terms: -6n + 10n = 4n -32 + 4n = -10n + 10n Combine like terms: -10n + 10n = 0 -32 + 4n = 0 Add '32' to each side of the equation. -32 + 32 + 4n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 4n = 0 + 32 4n = 0 + 32 Combine like terms: 0 + 32 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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