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Simplifying -114 = 3(-6 + 3n) + 3 -114 = (-6 * 3 + 3n * 3) + 3 -114 = (-18 + 9n) + 3 Reorder the terms: -114 = -18 + 3 + 9n Combine like terms: -18 + 3 = -15 -114 = -15 + 9n Solving -114 = -15 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -114 + -9n = -15 + 9n + -9n Combine like terms: 9n + -9n = 0 -114 + -9n = -15 + 0 -114 + -9n = -15 Add '114' to each side of the equation. -114 + 114 + -9n = -15 + 114 Combine like terms: -114 + 114 = 0 0 + -9n = -15 + 114 -9n = -15 + 114 Combine like terms: -15 + 114 = 99 -9n = 99 Divide each side by '-9'. n = -11 Simplifying n = -11
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