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Simplifying -6n + -45 = -3(n + 11) Reorder the terms: -45 + -6n = -3(n + 11) Reorder the terms: -45 + -6n = -3(11 + n) -45 + -6n = (11 * -3 + n * -3) -45 + -6n = (-33 + -3n) Solving -45 + -6n = -33 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -45 + -6n + 3n = -33 + -3n + 3n Combine like terms: -6n + 3n = -3n -45 + -3n = -33 + -3n + 3n Combine like terms: -3n + 3n = 0 -45 + -3n = -33 + 0 -45 + -3n = -33 Add '45' to each side of the equation. -45 + 45 + -3n = -33 + 45 Combine like terms: -45 + 45 = 0 0 + -3n = -33 + 45 -3n = -33 + 45 Combine like terms: -33 + 45 = 12 -3n = 12 Divide each side by '-3'. n = -4 Simplifying n = -4
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