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Simplifying -5(n + -6) = -4(n + -7) Reorder the terms: -5(-6 + n) = -4(n + -7) (-6 * -5 + n * -5) = -4(n + -7) (30 + -5n) = -4(n + -7) Reorder the terms: 30 + -5n = -4(-7 + n) 30 + -5n = (-7 * -4 + n * -4) 30 + -5n = (28 + -4n) Solving 30 + -5n = 28 + -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. 30 + -5n + 4n = 28 + -4n + 4n Combine like terms: -5n + 4n = -1n 30 + -1n = 28 + -4n + 4n Combine like terms: -4n + 4n = 0 30 + -1n = 28 + 0 30 + -1n = 28 Add '-30' to each side of the equation. 30 + -30 + -1n = 28 + -30 Combine like terms: 30 + -30 = 0 0 + -1n = 28 + -30 -1n = 28 + -30 Combine like terms: 28 + -30 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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