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Simplifying -1(n + -7) + -1n = 8(6 + n) + 6 Reorder the terms: -1(-7 + n) + -1n = 8(6 + n) + 6 (-7 * -1 + n * -1) + -1n = 8(6 + n) + 6 (7 + -1n) + -1n = 8(6 + n) + 6 Combine like terms: -1n + -1n = -2n 7 + -2n = 8(6 + n) + 6 7 + -2n = (6 * 8 + n * 8) + 6 7 + -2n = (48 + 8n) + 6 Reorder the terms: 7 + -2n = 48 + 6 + 8n Combine like terms: 48 + 6 = 54 7 + -2n = 54 + 8n Solving 7 + -2n = 54 + 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. 7 + -2n + -8n = 54 + 8n + -8n Combine like terms: -2n + -8n = -10n 7 + -10n = 54 + 8n + -8n Combine like terms: 8n + -8n = 0 7 + -10n = 54 + 0 7 + -10n = 54 Add '-7' to each side of the equation. 7 + -7 + -10n = 54 + -7 Combine like terms: 7 + -7 = 0 0 + -10n = 54 + -7 -10n = 54 + -7 Combine like terms: 54 + -7 = 47 -10n = 47 Divide each side by '-10'. n = -4.7 Simplifying n = -4.7
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