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Simplifying 6(n + -1) + -3n = 6(n + -3) Reorder the terms: 6(-1 + n) + -3n = 6(n + -3) (-1 * 6 + n * 6) + -3n = 6(n + -3) (-6 + 6n) + -3n = 6(n + -3) Combine like terms: 6n + -3n = 3n -6 + 3n = 6(n + -3) Reorder the terms: -6 + 3n = 6(-3 + n) -6 + 3n = (-3 * 6 + n * 6) -6 + 3n = (-18 + 6n) Solving -6 + 3n = -18 + 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. -6 + 3n + -6n = -18 + 6n + -6n Combine like terms: 3n + -6n = -3n -6 + -3n = -18 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + -3n = -18 + 0 -6 + -3n = -18 Add '6' to each side of the equation. -6 + 6 + -3n = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -3n = -18 + 6 -3n = -18 + 6 Combine like terms: -18 + 6 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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