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