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Simplifying 5(n + 6) = 2(3n + -18) Reorder the terms: 5(6 + n) = 2(3n + -18) (6 * 5 + n * 5) = 2(3n + -18) (30 + 5n) = 2(3n + -18) Reorder the terms: 30 + 5n = 2(-18 + 3n) 30 + 5n = (-18 * 2 + 3n * 2) 30 + 5n = (-36 + 6n) Solving 30 + 5n = -36 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 30 + 5n + -6n = -36 + 6n + -6n Combine like terms: 5n + -6n = -1n 30 + -1n = -36 + 6n + -6n Combine like terms: 6n + -6n = 0 30 + -1n = -36 + 0 30 + -1n = -36 Add '-30' to each side of the equation. 30 + -30 + -1n = -36 + -30 Combine like terms: 30 + -30 = 0 0 + -1n = -36 + -30 -1n = -36 + -30 Combine like terms: -36 + -30 = -66 -1n = -66 Divide each side by '-1'. n = 66 Simplifying n = 66
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