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Simplifying -5 + -5n = -1 + -6(n + 1) Reorder the terms: -5 + -5n = -1 + -6(1 + n) -5 + -5n = -1 + (1 * -6 + n * -6) -5 + -5n = -1 + (-6 + -6n) Combine like terms: -1 + -6 = -7 -5 + -5n = -7 + -6n Solving -5 + -5n = -7 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -5 + -5n + 6n = -7 + -6n + 6n Combine like terms: -5n + 6n = 1n -5 + 1n = -7 + -6n + 6n Combine like terms: -6n + 6n = 0 -5 + 1n = -7 + 0 -5 + 1n = -7 Add '5' to each side of the equation. -5 + 5 + 1n = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 1n = -7 + 5 1n = -7 + 5 Combine like terms: -7 + 5 = -2 1n = -2 Divide each side by '1'. n = -2 Simplifying n = -2
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