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Simplifying -34 + 7n = -8(-5n + -4) Reorder the terms: -34 + 7n = -8(-4 + -5n) -34 + 7n = (-4 * -8 + -5n * -8) -34 + 7n = (32 + 40n) Solving -34 + 7n = 32 + 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. -34 + 7n + -40n = 32 + 40n + -40n Combine like terms: 7n + -40n = -33n -34 + -33n = 32 + 40n + -40n Combine like terms: 40n + -40n = 0 -34 + -33n = 32 + 0 -34 + -33n = 32 Add '34' to each side of the equation. -34 + 34 + -33n = 32 + 34 Combine like terms: -34 + 34 = 0 0 + -33n = 32 + 34 -33n = 32 + 34 Combine like terms: 32 + 34 = 66 -33n = 66 Divide each side by '-33'. n = -2 Simplifying n = -2
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