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Simplifying 7n + -21 = 7(2n + 4) + 7 Reorder the terms: -21 + 7n = 7(2n + 4) + 7 Reorder the terms: -21 + 7n = 7(4 + 2n) + 7 -21 + 7n = (4 * 7 + 2n * 7) + 7 -21 + 7n = (28 + 14n) + 7 Reorder the terms: -21 + 7n = 28 + 7 + 14n Combine like terms: 28 + 7 = 35 -21 + 7n = 35 + 14n Solving -21 + 7n = 35 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -21 + 7n + -14n = 35 + 14n + -14n Combine like terms: 7n + -14n = -7n -21 + -7n = 35 + 14n + -14n Combine like terms: 14n + -14n = 0 -21 + -7n = 35 + 0 -21 + -7n = 35 Add '21' to each side of the equation. -21 + 21 + -7n = 35 + 21 Combine like terms: -21 + 21 = 0 0 + -7n = 35 + 21 -7n = 35 + 21 Combine like terms: 35 + 21 = 56 -7n = 56 Divide each side by '-7'. n = -8 Simplifying n = -8
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