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Simplifying 2(n + 2) + -6n = -3(n + 2) + 3 Reorder the terms: 2(2 + n) + -6n = -3(n + 2) + 3 (2 * 2 + n * 2) + -6n = -3(n + 2) + 3 (4 + 2n) + -6n = -3(n + 2) + 3 Combine like terms: 2n + -6n = -4n 4 + -4n = -3(n + 2) + 3 Reorder the terms: 4 + -4n = -3(2 + n) + 3 4 + -4n = (2 * -3 + n * -3) + 3 4 + -4n = (-6 + -3n) + 3 Reorder the terms: 4 + -4n = -6 + 3 + -3n Combine like terms: -6 + 3 = -3 4 + -4n = -3 + -3n Solving 4 + -4n = -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. 4 + -4n + 3n = -3 + -3n + 3n Combine like terms: -4n + 3n = -1n 4 + -1n = -3 + -3n + 3n Combine like terms: -3n + 3n = 0 4 + -1n = -3 + 0 4 + -1n = -3 Add '-4' to each side of the equation. 4 + -4 + -1n = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = -3 + -4 -1n = -3 + -4 Combine like terms: -3 + -4 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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