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Simplifying -7 + -1(6n + 5) = -33 + n Reorder the terms: -7 + -1(5 + 6n) = -33 + n -7 + (5 * -1 + 6n * -1) = -33 + n -7 + (-5 + -6n) = -33 + n Combine like terms: -7 + -5 = -12 -12 + -6n = -33 + n Solving -12 + -6n = -33 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -12 + -6n + -1n = -33 + n + -1n Combine like terms: -6n + -1n = -7n -12 + -7n = -33 + n + -1n Combine like terms: n + -1n = 0 -12 + -7n = -33 + 0 -12 + -7n = -33 Add '12' to each side of the equation. -12 + 12 + -7n = -33 + 12 Combine like terms: -12 + 12 = 0 0 + -7n = -33 + 12 -7n = -33 + 12 Combine like terms: -33 + 12 = -21 -7n = -21 Divide each side by '-7'. n = 3 Simplifying n = 3
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