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Simplifying 7 + -7(2n + -8) = 7(2n + -3) Reorder the terms: 7 + -7(-8 + 2n) = 7(2n + -3) 7 + (-8 * -7 + 2n * -7) = 7(2n + -3) 7 + (56 + -14n) = 7(2n + -3) Combine like terms: 7 + 56 = 63 63 + -14n = 7(2n + -3) Reorder the terms: 63 + -14n = 7(-3 + 2n) 63 + -14n = (-3 * 7 + 2n * 7) 63 + -14n = (-21 + 14n) Solving 63 + -14n = -21 + 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. 63 + -14n + -14n = -21 + 14n + -14n Combine like terms: -14n + -14n = -28n 63 + -28n = -21 + 14n + -14n Combine like terms: 14n + -14n = 0 63 + -28n = -21 + 0 63 + -28n = -21 Add '-63' to each side of the equation. 63 + -63 + -28n = -21 + -63 Combine like terms: 63 + -63 = 0 0 + -28n = -21 + -63 -28n = -21 + -63 Combine like terms: -21 + -63 = -84 -28n = -84 Divide each side by '-28'. n = 3 Simplifying n = 3
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