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Simplifying 4(1 + -4n) + -3(1 + 4n) = 1 (1 * 4 + -4n * 4) + -3(1 + 4n) = 1 (4 + -16n) + -3(1 + 4n) = 1 4 + -16n + (1 * -3 + 4n * -3) = 1 4 + -16n + (-3 + -12n) = 1 Reorder the terms: 4 + -3 + -16n + -12n = 1 Combine like terms: 4 + -3 = 1 1 + -16n + -12n = 1 Combine like terms: -16n + -12n = -28n 1 + -28n = 1 Add '-1' to each side of the equation. 1 + -1 + -28n = 1 + -1 Combine like terms: 1 + -1 = 0 0 + -28n = 1 + -1 -28n = 1 + -1 Combine like terms: 1 + -1 = 0 -28n = 0 Solving -28n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-28'. n = 0 Simplifying n = 0
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