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Simplifying -312 = 8(5n + 1) Reorder the terms: -312 = 8(1 + 5n) -312 = (1 * 8 + 5n * 8) -312 = (8 + 40n) Solving -312 = 8 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -312 + -40n = 8 + 40n + -40n Combine like terms: 40n + -40n = 0 -312 + -40n = 8 + 0 -312 + -40n = 8 Add '312' to each side of the equation. -312 + 312 + -40n = 8 + 312 Combine like terms: -312 + 312 = 0 0 + -40n = 8 + 312 -40n = 8 + 312 Combine like terms: 8 + 312 = 320 -40n = 320 Divide each side by '-40'. n = -8 Simplifying n = -8
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