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Simplifying -4(1 + 7n) = -8(4n + 6) (1 * -4 + 7n * -4) = -8(4n + 6) (-4 + -28n) = -8(4n + 6) Reorder the terms: -4 + -28n = -8(6 + 4n) -4 + -28n = (6 * -8 + 4n * -8) -4 + -28n = (-48 + -32n) Solving -4 + -28n = -48 + -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. -4 + -28n + 32n = -48 + -32n + 32n Combine like terms: -28n + 32n = 4n -4 + 4n = -48 + -32n + 32n Combine like terms: -32n + 32n = 0 -4 + 4n = -48 + 0 -4 + 4n = -48 Add '4' to each side of the equation. -4 + 4 + 4n = -48 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = -48 + 4 4n = -48 + 4 Combine like terms: -48 + 4 = -44 4n = -44 Divide each side by '4'. n = -11 Simplifying n = -11
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