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Simplifying 6n + -6 = -8(4n + -4) Reorder the terms: -6 + 6n = -8(4n + -4) Reorder the terms: -6 + 6n = -8(-4 + 4n) -6 + 6n = (-4 * -8 + 4n * -8) -6 + 6n = (32 + -32n) Solving -6 + 6n = 32 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -6 + 6n + 32n = 32 + -32n + 32n Combine like terms: 6n + 32n = 38n -6 + 38n = 32 + -32n + 32n Combine like terms: -32n + 32n = 0 -6 + 38n = 32 + 0 -6 + 38n = 32 Add '6' to each side of the equation. -6 + 6 + 38n = 32 + 6 Combine like terms: -6 + 6 = 0 0 + 38n = 32 + 6 38n = 32 + 6 Combine like terms: 32 + 6 = 38 38n = 38 Divide each side by '38'. n = 1 Simplifying n = 1
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