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Simplifying 2n + 7 = -2(2n + 4) + 7n Reorder the terms: 7 + 2n = -2(2n + 4) + 7n Reorder the terms: 7 + 2n = -2(4 + 2n) + 7n 7 + 2n = (4 * -2 + 2n * -2) + 7n 7 + 2n = (-8 + -4n) + 7n Combine like terms: -4n + 7n = 3n 7 + 2n = -8 + 3n Solving 7 + 2n = -8 + 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. 7 + 2n + -3n = -8 + 3n + -3n Combine like terms: 2n + -3n = -1n 7 + -1n = -8 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + -1n = -8 + 0 7 + -1n = -8 Add '-7' to each side of the equation. 7 + -7 + -1n = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = -8 + -7 -1n = -8 + -7 Combine like terms: -8 + -7 = -15 -1n = -15 Divide each side by '-1'. n = 15 Simplifying n = 15
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