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Simplifying 7 + 2n = 7n + -4(2n + -7) Reorder the terms: 7 + 2n = 7n + -4(-7 + 2n) 7 + 2n = 7n + (-7 * -4 + 2n * -4) 7 + 2n = 7n + (28 + -8n) Reorder the terms: 7 + 2n = 28 + 7n + -8n Combine like terms: 7n + -8n = -1n 7 + 2n = 28 + -1n Solving 7 + 2n = 28 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 7 + 2n + n = 28 + -1n + n Combine like terms: 2n + n = 3n 7 + 3n = 28 + -1n + n Combine like terms: -1n + n = 0 7 + 3n = 28 + 0 7 + 3n = 28 Add '-7' to each side of the equation. 7 + -7 + 3n = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 3n = 28 + -7 3n = 28 + -7 Combine like terms: 28 + -7 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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