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Simplifying 2(n + -2) = 10 + n + -1(6n + -21) Reorder the terms: 2(-2 + n) = 10 + n + -1(6n + -21) (-2 * 2 + n * 2) = 10 + n + -1(6n + -21) (-4 + 2n) = 10 + n + -1(6n + -21) Reorder the terms: -4 + 2n = 10 + n + -1(-21 + 6n) -4 + 2n = 10 + n + (-21 * -1 + 6n * -1) -4 + 2n = 10 + n + (21 + -6n) Reorder the terms: -4 + 2n = 10 + 21 + n + -6n Combine like terms: 10 + 21 = 31 -4 + 2n = 31 + n + -6n Combine like terms: n + -6n = -5n -4 + 2n = 31 + -5n Solving -4 + 2n = 31 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -4 + 2n + 5n = 31 + -5n + 5n Combine like terms: 2n + 5n = 7n -4 + 7n = 31 + -5n + 5n Combine like terms: -5n + 5n = 0 -4 + 7n = 31 + 0 -4 + 7n = 31 Add '4' to each side of the equation. -4 + 4 + 7n = 31 + 4 Combine like terms: -4 + 4 = 0 0 + 7n = 31 + 4 7n = 31 + 4 Combine like terms: 31 + 4 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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