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Simplifying 6(n + -5) + -7n = 5 + 4n Reorder the terms: 6(-5 + n) + -7n = 5 + 4n (-5 * 6 + n * 6) + -7n = 5 + 4n (-30 + 6n) + -7n = 5 + 4n Combine like terms: 6n + -7n = -1n -30 + -1n = 5 + 4n Solving -30 + -1n = 5 + 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 + -1n + -4n = 5 + 4n + -4n Combine like terms: -1n + -4n = -5n -30 + -5n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 -30 + -5n = 5 + 0 -30 + -5n = 5 Add '30' to each side of the equation. -30 + 30 + -5n = 5 + 30 Combine like terms: -30 + 30 = 0 0 + -5n = 5 + 30 -5n = 5 + 30 Combine like terms: 5 + 30 = 35 -5n = 35 Divide each side by '-5'. n = -7 Simplifying n = -7
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