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Simplifying -38 = -2(-5 + 5n) + 8(-6 + -3n) -38 = (-5 * -2 + 5n * -2) + 8(-6 + -3n) -38 = (10 + -10n) + 8(-6 + -3n) -38 = 10 + -10n + (-6 * 8 + -3n * 8) -38 = 10 + -10n + (-48 + -24n) Reorder the terms: -38 = 10 + -48 + -10n + -24n Combine like terms: 10 + -48 = -38 -38 = -38 + -10n + -24n Combine like terms: -10n + -24n = -34n -38 = -38 + -34n Add '38' to each side of the equation. -38 + 38 = -38 + 38 + -34n Combine like terms: -38 + 38 = 0 0 = -38 + 38 + -34n Combine like terms: -38 + 38 = 0 0 = 0 + -34n 0 = -34n Solving 0 = -34n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '34n' to each side of the equation. 0 + 34n = -34n + 34n Remove the zero: 34n = -34n + 34n Combine like terms: -34n + 34n = 0 34n = 0 Divide each side by '34'. n = 0 Simplifying n = 0
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