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Simplifying -9(-7n + 1) = -8 + 4(4n + -12) Reorder the terms: -9(1 + -7n) = -8 + 4(4n + -12) (1 * -9 + -7n * -9) = -8 + 4(4n + -12) (-9 + 63n) = -8 + 4(4n + -12) Reorder the terms: -9 + 63n = -8 + 4(-12 + 4n) -9 + 63n = -8 + (-12 * 4 + 4n * 4) -9 + 63n = -8 + (-48 + 16n) Combine like terms: -8 + -48 = -56 -9 + 63n = -56 + 16n Solving -9 + 63n = -56 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -9 + 63n + -16n = -56 + 16n + -16n Combine like terms: 63n + -16n = 47n -9 + 47n = -56 + 16n + -16n Combine like terms: 16n + -16n = 0 -9 + 47n = -56 + 0 -9 + 47n = -56 Add '9' to each side of the equation. -9 + 9 + 47n = -56 + 9 Combine like terms: -9 + 9 = 0 0 + 47n = -56 + 9 47n = -56 + 9 Combine like terms: -56 + 9 = -47 47n = -47 Divide each side by '47'. n = -1 Simplifying n = -1
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