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Simplifying 5 + -8(2n + -2) = 7 + -2(7n + -3) Reorder the terms: 5 + -8(-2 + 2n) = 7 + -2(7n + -3) 5 + (-2 * -8 + 2n * -8) = 7 + -2(7n + -3) 5 + (16 + -16n) = 7 + -2(7n + -3) Combine like terms: 5 + 16 = 21 21 + -16n = 7 + -2(7n + -3) Reorder the terms: 21 + -16n = 7 + -2(-3 + 7n) 21 + -16n = 7 + (-3 * -2 + 7n * -2) 21 + -16n = 7 + (6 + -14n) Combine like terms: 7 + 6 = 13 21 + -16n = 13 + -14n Solving 21 + -16n = 13 + -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 + -16n + 14n = 13 + -14n + 14n Combine like terms: -16n + 14n = -2n 21 + -2n = 13 + -14n + 14n Combine like terms: -14n + 14n = 0 21 + -2n = 13 + 0 21 + -2n = 13 Add '-21' to each side of the equation. 21 + -21 + -2n = 13 + -21 Combine like terms: 21 + -21 = 0 0 + -2n = 13 + -21 -2n = 13 + -21 Combine like terms: 13 + -21 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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