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Simplifying 6(n + -2) = 2 + -2(-5n + 5) Reorder the terms: 6(-2 + n) = 2 + -2(-5n + 5) (-2 * 6 + n * 6) = 2 + -2(-5n + 5) (-12 + 6n) = 2 + -2(-5n + 5) Reorder the terms: -12 + 6n = 2 + -2(5 + -5n) -12 + 6n = 2 + (5 * -2 + -5n * -2) -12 + 6n = 2 + (-10 + 10n) Combine like terms: 2 + -10 = -8 -12 + 6n = -8 + 10n Solving -12 + 6n = -8 + 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. -12 + 6n + -10n = -8 + 10n + -10n Combine like terms: 6n + -10n = -4n -12 + -4n = -8 + 10n + -10n Combine like terms: 10n + -10n = 0 -12 + -4n = -8 + 0 -12 + -4n = -8 Add '12' to each side of the equation. -12 + 12 + -4n = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -4n = -8 + 12 -4n = -8 + 12 Combine like terms: -8 + 12 = 4 -4n = 4 Divide each side by '-4'. n = -1 Simplifying n = -1
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