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Simplifying -17 + 2n = -3 + -8(n + -7) Reorder the terms: -17 + 2n = -3 + -8(-7 + n) -17 + 2n = -3 + (-7 * -8 + n * -8) -17 + 2n = -3 + (56 + -8n) Combine like terms: -3 + 56 = 53 -17 + 2n = 53 + -8n Solving -17 + 2n = 53 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -17 + 2n + 8n = 53 + -8n + 8n Combine like terms: 2n + 8n = 10n -17 + 10n = 53 + -8n + 8n Combine like terms: -8n + 8n = 0 -17 + 10n = 53 + 0 -17 + 10n = 53 Add '17' to each side of the equation. -17 + 17 + 10n = 53 + 17 Combine like terms: -17 + 17 = 0 0 + 10n = 53 + 17 10n = 53 + 17 Combine like terms: 53 + 17 = 70 10n = 70 Divide each side by '10'. n = 7 Simplifying n = 7
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