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Simplifying -66 = -2(n + 4) + 6(n + -5) Reorder the terms: -66 = -2(4 + n) + 6(n + -5) -66 = (4 * -2 + n * -2) + 6(n + -5) -66 = (-8 + -2n) + 6(n + -5) Reorder the terms: -66 = -8 + -2n + 6(-5 + n) -66 = -8 + -2n + (-5 * 6 + n * 6) -66 = -8 + -2n + (-30 + 6n) Reorder the terms: -66 = -8 + -30 + -2n + 6n Combine like terms: -8 + -30 = -38 -66 = -38 + -2n + 6n Combine like terms: -2n + 6n = 4n -66 = -38 + 4n Solving -66 = -38 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -66 + -4n = -38 + 4n + -4n Combine like terms: 4n + -4n = 0 -66 + -4n = -38 + 0 -66 + -4n = -38 Add '66' to each side of the equation. -66 + 66 + -4n = -38 + 66 Combine like terms: -66 + 66 = 0 0 + -4n = -38 + 66 -4n = -38 + 66 Combine like terms: -38 + 66 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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