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Simplifying 2 + -2(-2n + 5) = (7n + -6) + 7 Reorder the terms: 2 + -2(5 + -2n) = (7n + -6) + 7 2 + (5 * -2 + -2n * -2) = (7n + -6) + 7 2 + (-10 + 4n) = (7n + -6) + 7 Combine like terms: 2 + -10 = -8 -8 + 4n = (7n + -6) + 7 Reorder the terms: -8 + 4n = (-6 + 7n) + 7 Remove parenthesis around (-6 + 7n) -8 + 4n = -6 + 7n + 7 Reorder the terms: -8 + 4n = -6 + 7 + 7n Combine like terms: -6 + 7 = 1 -8 + 4n = 1 + 7n Solving -8 + 4n = 1 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -8 + 4n + -7n = 1 + 7n + -7n Combine like terms: 4n + -7n = -3n -8 + -3n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 -8 + -3n = 1 + 0 -8 + -3n = 1 Add '8' to each side of the equation. -8 + 8 + -3n = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -3n = 1 + 8 -3n = 1 + 8 Combine like terms: 1 + 8 = 9 -3n = 9 Divide each side by '-3'. n = -3 Simplifying n = -3
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