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Simplifying 2n + -6n + 6 = -18 + -1n + 3 Reorder the terms: 6 + 2n + -6n = -18 + -1n + 3 Combine like terms: 2n + -6n = -4n 6 + -4n = -18 + -1n + 3 Reorder the terms: 6 + -4n = -18 + 3 + -1n Combine like terms: -18 + 3 = -15 6 + -4n = -15 + -1n Solving 6 + -4n = -15 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 6 + -4n + n = -15 + -1n + n Combine like terms: -4n + n = -3n 6 + -3n = -15 + -1n + n Combine like terms: -1n + n = 0 6 + -3n = -15 + 0 6 + -3n = -15 Add '-6' to each side of the equation. 6 + -6 + -3n = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -3n = -15 + -6 -3n = -15 + -6 Combine like terms: -15 + -6 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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