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Simplifying -28 = -2(n + 5) + -1(-6n + 6) Reorder the terms: -28 = -2(5 + n) + -1(-6n + 6) -28 = (5 * -2 + n * -2) + -1(-6n + 6) -28 = (-10 + -2n) + -1(-6n + 6) Reorder the terms: -28 = -10 + -2n + -1(6 + -6n) -28 = -10 + -2n + (6 * -1 + -6n * -1) -28 = -10 + -2n + (-6 + 6n) Reorder the terms: -28 = -10 + -6 + -2n + 6n Combine like terms: -10 + -6 = -16 -28 = -16 + -2n + 6n Combine like terms: -2n + 6n = 4n -28 = -16 + 4n Solving -28 = -16 + 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. -28 + -4n = -16 + 4n + -4n Combine like terms: 4n + -4n = 0 -28 + -4n = -16 + 0 -28 + -4n = -16 Add '28' to each side of the equation. -28 + 28 + -4n = -16 + 28 Combine like terms: -28 + 28 = 0 0 + -4n = -16 + 28 -4n = -16 + 28 Combine like terms: -16 + 28 = 12 -4n = 12 Divide each side by '-4'. n = -3 Simplifying n = -3
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