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Simplifying 6(n + -2) + -3 = -3n + 3 Reorder the terms: 6(-2 + n) + -3 = -3n + 3 (-2 * 6 + n * 6) + -3 = -3n + 3 (-12 + 6n) + -3 = -3n + 3 Reorder the terms: -12 + -3 + 6n = -3n + 3 Combine like terms: -12 + -3 = -15 -15 + 6n = -3n + 3 Reorder the terms: -15 + 6n = 3 + -3n Solving -15 + 6n = 3 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -15 + 6n + 3n = 3 + -3n + 3n Combine like terms: 6n + 3n = 9n -15 + 9n = 3 + -3n + 3n Combine like terms: -3n + 3n = 0 -15 + 9n = 3 + 0 -15 + 9n = 3 Add '15' to each side of the equation. -15 + 15 + 9n = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 9n = 3 + 15 9n = 3 + 15 Combine like terms: 3 + 15 = 18 9n = 18 Divide each side by '9'. n = 2 Simplifying n = 2
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