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Simplifying 2n + 10 = -8n + 7(8n + 8) Reorder the terms: 10 + 2n = -8n + 7(8n + 8) Reorder the terms: 10 + 2n = -8n + 7(8 + 8n) 10 + 2n = -8n + (8 * 7 + 8n * 7) 10 + 2n = -8n + (56 + 56n) Reorder the terms: 10 + 2n = 56 + -8n + 56n Combine like terms: -8n + 56n = 48n 10 + 2n = 56 + 48n Solving 10 + 2n = 56 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 10 + 2n + -48n = 56 + 48n + -48n Combine like terms: 2n + -48n = -46n 10 + -46n = 56 + 48n + -48n Combine like terms: 48n + -48n = 0 10 + -46n = 56 + 0 10 + -46n = 56 Add '-10' to each side of the equation. 10 + -10 + -46n = 56 + -10 Combine like terms: 10 + -10 = 0 0 + -46n = 56 + -10 -46n = 56 + -10 Combine like terms: 56 + -10 = 46 -46n = 46 Divide each side by '-46'. n = -1 Simplifying n = -1
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