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Simplifying 8(6n + -4) = 4(6n + -10) + 40 Reorder the terms: 8(-4 + 6n) = 4(6n + -10) + 40 (-4 * 8 + 6n * 8) = 4(6n + -10) + 40 (-32 + 48n) = 4(6n + -10) + 40 Reorder the terms: -32 + 48n = 4(-10 + 6n) + 40 -32 + 48n = (-10 * 4 + 6n * 4) + 40 -32 + 48n = (-40 + 24n) + 40 Reorder the terms: -32 + 48n = -40 + 40 + 24n Combine like terms: -40 + 40 = 0 -32 + 48n = 0 + 24n -32 + 48n = 24n Solving -32 + 48n = 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -32 + 48n + -24n = 24n + -24n Combine like terms: 48n + -24n = 24n -32 + 24n = 24n + -24n Combine like terms: 24n + -24n = 0 -32 + 24n = 0 Add '32' to each side of the equation. -32 + 32 + 24n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 24n = 0 + 32 24n = 0 + 32 Combine like terms: 0 + 32 = 32 24n = 32 Divide each side by '24'. n = 1.333333333 Simplifying n = 1.333333333
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