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Simplifying 6n + -40 = 5(8 + 2n) Reorder the terms: -40 + 6n = 5(8 + 2n) -40 + 6n = (8 * 5 + 2n * 5) -40 + 6n = (40 + 10n) Solving -40 + 6n = 40 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -40 + 6n + -10n = 40 + 10n + -10n Combine like terms: 6n + -10n = -4n -40 + -4n = 40 + 10n + -10n Combine like terms: 10n + -10n = 0 -40 + -4n = 40 + 0 -40 + -4n = 40 Add '40' to each side of the equation. -40 + 40 + -4n = 40 + 40 Combine like terms: -40 + 40 = 0 0 + -4n = 40 + 40 -4n = 40 + 40 Combine like terms: 40 + 40 = 80 -4n = 80 Divide each side by '-4'. n = -20 Simplifying n = -20
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