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Simplifying 4(n + 2) + -10 = 5n + -1(6 + -2n) + -2 Reorder the terms: 4(2 + n) + -10 = 5n + -1(6 + -2n) + -2 (2 * 4 + n * 4) + -10 = 5n + -1(6 + -2n) + -2 (8 + 4n) + -10 = 5n + -1(6 + -2n) + -2 Reorder the terms: 8 + -10 + 4n = 5n + -1(6 + -2n) + -2 Combine like terms: 8 + -10 = -2 -2 + 4n = 5n + -1(6 + -2n) + -2 -2 + 4n = 5n + (6 * -1 + -2n * -1) + -2 -2 + 4n = 5n + (-6 + 2n) + -2 Reorder the terms: -2 + 4n = -6 + -2 + 5n + 2n Combine like terms: -6 + -2 = -8 -2 + 4n = -8 + 5n + 2n Combine like terms: 5n + 2n = 7n -2 + 4n = -8 + 7n Solving -2 + 4n = -8 + 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. -2 + 4n + -7n = -8 + 7n + -7n Combine like terms: 4n + -7n = -3n -2 + -3n = -8 + 7n + -7n Combine like terms: 7n + -7n = 0 -2 + -3n = -8 + 0 -2 + -3n = -8 Add '2' to each side of the equation. -2 + 2 + -3n = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -3n = -8 + 2 -3n = -8 + 2 Combine like terms: -8 + 2 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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