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Simplifying -5(1 + 5n) + 6n = -7(n + 11) (1 * -5 + 5n * -5) + 6n = -7(n + 11) (-5 + -25n) + 6n = -7(n + 11) Combine like terms: -25n + 6n = -19n -5 + -19n = -7(n + 11) Reorder the terms: -5 + -19n = -7(11 + n) -5 + -19n = (11 * -7 + n * -7) -5 + -19n = (-77 + -7n) Solving -5 + -19n = -77 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -5 + -19n + 7n = -77 + -7n + 7n Combine like terms: -19n + 7n = -12n -5 + -12n = -77 + -7n + 7n Combine like terms: -7n + 7n = 0 -5 + -12n = -77 + 0 -5 + -12n = -77 Add '5' to each side of the equation. -5 + 5 + -12n = -77 + 5 Combine like terms: -5 + 5 = 0 0 + -12n = -77 + 5 -12n = -77 + 5 Combine like terms: -77 + 5 = -72 -12n = -72 Divide each side by '-12'. n = 6 Simplifying n = 6
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