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Simplifying 43 = 6(3n + -3) + 7 Reorder the terms: 43 = 6(-3 + 3n) + 7 43 = (-3 * 6 + 3n * 6) + 7 43 = (-18 + 18n) + 7 Reorder the terms: 43 = -18 + 7 + 18n Combine like terms: -18 + 7 = -11 43 = -11 + 18n Solving 43 = -11 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 43 + -18n = -11 + 18n + -18n Combine like terms: 18n + -18n = 0 43 + -18n = -11 + 0 43 + -18n = -11 Add '-43' to each side of the equation. 43 + -43 + -18n = -11 + -43 Combine like terms: 43 + -43 = 0 0 + -18n = -11 + -43 -18n = -11 + -43 Combine like terms: -11 + -43 = -54 -18n = -54 Divide each side by '-18'. n = 3 Simplifying n = 3
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