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Simplifying -2n + -28 = -2 + 6(3 + 7n) Reorder the terms: -28 + -2n = -2 + 6(3 + 7n) -28 + -2n = -2 + (3 * 6 + 7n * 6) -28 + -2n = -2 + (18 + 42n) Combine like terms: -2 + 18 = 16 -28 + -2n = 16 + 42n Solving -28 + -2n = 16 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. -28 + -2n + -42n = 16 + 42n + -42n Combine like terms: -2n + -42n = -44n -28 + -44n = 16 + 42n + -42n Combine like terms: 42n + -42n = 0 -28 + -44n = 16 + 0 -28 + -44n = 16 Add '28' to each side of the equation. -28 + 28 + -44n = 16 + 28 Combine like terms: -28 + 28 = 0 0 + -44n = 16 + 28 -44n = 16 + 28 Combine like terms: 16 + 28 = 44 -44n = 44 Divide each side by '-44'. n = -1 Simplifying n = -1
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