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Simplifying -192 = 8(-5n + 7) + -8 Reorder the terms: -192 = 8(7 + -5n) + -8 -192 = (7 * 8 + -5n * 8) + -8 -192 = (56 + -40n) + -8 Reorder the terms: -192 = 56 + -8 + -40n Combine like terms: 56 + -8 = 48 -192 = 48 + -40n Solving -192 = 48 + -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. -192 + 40n = 48 + -40n + 40n Combine like terms: -40n + 40n = 0 -192 + 40n = 48 + 0 -192 + 40n = 48 Add '192' to each side of the equation. -192 + 192 + 40n = 48 + 192 Combine like terms: -192 + 192 = 0 0 + 40n = 48 + 192 40n = 48 + 192 Combine like terms: 48 + 192 = 240 40n = 240 Divide each side by '40'. n = 6 Simplifying n = 6
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