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Simplifying 0.66(9n + -12) = -1(n + -6) Reorder the terms: 0.66(-12 + 9n) = -1(n + -6) (-12 * 0.66 + 9n * 0.66) = -1(n + -6) (-7.92 + 5.94n) = -1(n + -6) Reorder the terms: -7.92 + 5.94n = -1(-6 + n) -7.92 + 5.94n = (-6 * -1 + n * -1) -7.92 + 5.94n = (6 + -1n) Solving -7.92 + 5.94n = 6 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -7.92 + 5.94n + n = 6 + -1n + n Combine like terms: 5.94n + n = 6.94n -7.92 + 6.94n = 6 + -1n + n Combine like terms: -1n + n = 0 -7.92 + 6.94n = 6 + 0 -7.92 + 6.94n = 6 Add '7.92' to each side of the equation. -7.92 + 7.92 + 6.94n = 6 + 7.92 Combine like terms: -7.92 + 7.92 = 0.00 0.00 + 6.94n = 6 + 7.92 6.94n = 6 + 7.92 Combine like terms: 6 + 7.92 = 13.92 6.94n = 13.92 Divide each side by '6.94'. n = 2.005763689 Simplifying n = 2.005763689
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