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Simplifying 2(n + 3) = 3n + -7 Reorder the terms: 2(3 + n) = 3n + -7 (3 * 2 + n * 2) = 3n + -7 (6 + 2n) = 3n + -7 Reorder the terms: 6 + 2n = -7 + 3n Solving 6 + 2n = -7 + 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. 6 + 2n + -3n = -7 + 3n + -3n Combine like terms: 2n + -3n = -1n 6 + -1n = -7 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + -1n = -7 + 0 6 + -1n = -7 Add '-6' to each side of the equation. 6 + -6 + -1n = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = -7 + -6 -1n = -7 + -6 Combine like terms: -7 + -6 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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