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Simplifying -130 = -10 + 8(n + -7) Reorder the terms: -130 = -10 + 8(-7 + n) -130 = -10 + (-7 * 8 + n * 8) -130 = -10 + (-56 + 8n) Combine like terms: -10 + -56 = -66 -130 = -66 + 8n Solving -130 = -66 + 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. -130 + -8n = -66 + 8n + -8n Combine like terms: 8n + -8n = 0 -130 + -8n = -66 + 0 -130 + -8n = -66 Add '130' to each side of the equation. -130 + 130 + -8n = -66 + 130 Combine like terms: -130 + 130 = 0 0 + -8n = -66 + 130 -8n = -66 + 130 Combine like terms: -66 + 130 = 64 -8n = 64 Divide each side by '-8'. n = -8 Simplifying n = -8
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