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Simplifying -78 + 6n = 18(n + 9) Reorder the terms: -78 + 6n = 18(9 + n) -78 + 6n = (9 * 18 + n * 18) -78 + 6n = (162 + 18n) Solving -78 + 6n = 162 + 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. -78 + 6n + -18n = 162 + 18n + -18n Combine like terms: 6n + -18n = -12n -78 + -12n = 162 + 18n + -18n Combine like terms: 18n + -18n = 0 -78 + -12n = 162 + 0 -78 + -12n = 162 Add '78' to each side of the equation. -78 + 78 + -12n = 162 + 78 Combine like terms: -78 + 78 = 0 0 + -12n = 162 + 78 -12n = 162 + 78 Combine like terms: 162 + 78 = 240 -12n = 240 Divide each side by '-12'. n = -20 Simplifying n = -20
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