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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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