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Simplifying 4(n + -2) = -1(n + -7) Reorder the terms: 4(-2 + n) = -1(n + -7) (-2 * 4 + n * 4) = -1(n + -7) (-8 + 4n) = -1(n + -7) Reorder the terms: -8 + 4n = -1(-7 + n) -8 + 4n = (-7 * -1 + n * -1) -8 + 4n = (7 + -1n) Solving -8 + 4n = 7 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -8 + 4n + n = 7 + -1n + n Combine like terms: 4n + n = 5n -8 + 5n = 7 + -1n + n Combine like terms: -1n + n = 0 -8 + 5n = 7 + 0 -8 + 5n = 7 Add '8' to each side of the equation. -8 + 8 + 5n = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5n = 7 + 8 5n = 7 + 8 Combine like terms: 7 + 8 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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