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Simplifying 8(6n + -4) = 4(6n + -10) + 4 Reorder the terms: 8(-4 + 6n) = 4(6n + -10) + 4 (-4 * 8 + 6n * 8) = 4(6n + -10) + 4 (-32 + 48n) = 4(6n + -10) + 4 Reorder the terms: -32 + 48n = 4(-10 + 6n) + 4 -32 + 48n = (-10 * 4 + 6n * 4) + 4 -32 + 48n = (-40 + 24n) + 4 Reorder the terms: -32 + 48n = -40 + 4 + 24n Combine like terms: -40 + 4 = -36 -32 + 48n = -36 + 24n Solving -32 + 48n = -36 + 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 = -36 + 24n + -24n Combine like terms: 48n + -24n = 24n -32 + 24n = -36 + 24n + -24n Combine like terms: 24n + -24n = 0 -32 + 24n = -36 + 0 -32 + 24n = -36 Add '32' to each side of the equation. -32 + 32 + 24n = -36 + 32 Combine like terms: -32 + 32 = 0 0 + 24n = -36 + 32 24n = -36 + 32 Combine like terms: -36 + 32 = -4 24n = -4 Divide each side by '24'. n = -0.1666666667 Simplifying n = -0.1666666667
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