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Simplifying -19 = -1(n + -6) + 8(5 + -8n) Reorder the terms: -19 = -1(-6 + n) + 8(5 + -8n) -19 = (-6 * -1 + n * -1) + 8(5 + -8n) -19 = (6 + -1n) + 8(5 + -8n) -19 = 6 + -1n + (5 * 8 + -8n * 8) -19 = 6 + -1n + (40 + -64n) Reorder the terms: -19 = 6 + 40 + -1n + -64n Combine like terms: 6 + 40 = 46 -19 = 46 + -1n + -64n Combine like terms: -1n + -64n = -65n -19 = 46 + -65n Solving -19 = 46 + -65n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '65n' to each side of the equation. -19 + 65n = 46 + -65n + 65n Combine like terms: -65n + 65n = 0 -19 + 65n = 46 + 0 -19 + 65n = 46 Add '19' to each side of the equation. -19 + 19 + 65n = 46 + 19 Combine like terms: -19 + 19 = 0 0 + 65n = 46 + 19 65n = 46 + 19 Combine like terms: 46 + 19 = 65 65n = 65 Divide each side by '65'. n = 1 Simplifying n = 1
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