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Simplifying 4(10n + -10) + 6n = 8(1 + 5n) Reorder the terms: 4(-10 + 10n) + 6n = 8(1 + 5n) (-10 * 4 + 10n * 4) + 6n = 8(1 + 5n) (-40 + 40n) + 6n = 8(1 + 5n) Combine like terms: 40n + 6n = 46n -40 + 46n = 8(1 + 5n) -40 + 46n = (1 * 8 + 5n * 8) -40 + 46n = (8 + 40n) Solving -40 + 46n = 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. -40 + 46n + -40n = 8 + 40n + -40n Combine like terms: 46n + -40n = 6n -40 + 6n = 8 + 40n + -40n Combine like terms: 40n + -40n = 0 -40 + 6n = 8 + 0 -40 + 6n = 8 Add '40' to each side of the equation. -40 + 40 + 6n = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 6n = 8 + 40 6n = 8 + 40 Combine like terms: 8 + 40 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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