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Simplifying 4n + -7 = -1(n + -8) Reorder the terms: -7 + 4n = -1(n + -8) Reorder the terms: -7 + 4n = -1(-8 + n) -7 + 4n = (-8 * -1 + n * -1) -7 + 4n = (8 + -1n) Solving -7 + 4n = 8 + -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. -7 + 4n + n = 8 + -1n + n Combine like terms: 4n + n = 5n -7 + 5n = 8 + -1n + n Combine like terms: -1n + n = 0 -7 + 5n = 8 + 0 -7 + 5n = 8 Add '7' to each side of the equation. -7 + 7 + 5n = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5n = 8 + 7 5n = 8 + 7 Combine like terms: 8 + 7 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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