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Simplifying -6(n + 1) = -1(6 + n) Reorder the terms: -6(1 + n) = -1(6 + n) (1 * -6 + n * -6) = -1(6 + n) (-6 + -6n) = -1(6 + n) -6 + -6n = (6 * -1 + n * -1) -6 + -6n = (-6 + -1n) Add '6' to each side of the equation. -6 + 6 + -6n = -6 + 6 + -1n Combine like terms: -6 + 6 = 0 0 + -6n = -6 + 6 + -1n -6n = -6 + 6 + -1n Combine like terms: -6 + 6 = 0 -6n = 0 + -1n -6n = -1n Solving -6n = -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -6n + n = -1n + n Combine like terms: -6n + n = -5n -5n = -1n + n Combine like terms: -1n + n = 0 -5n = 0 Divide each side by '-5'. n = 0 Simplifying n = 0
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