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Simplifying 6n + -3(5n + 5) = -3 + -5n Reorder the terms: 6n + -3(5 + 5n) = -3 + -5n 6n + (5 * -3 + 5n * -3) = -3 + -5n 6n + (-15 + -15n) = -3 + -5n Reorder the terms: -15 + 6n + -15n = -3 + -5n Combine like terms: 6n + -15n = -9n -15 + -9n = -3 + -5n Solving -15 + -9n = -3 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -15 + -9n + 5n = -3 + -5n + 5n Combine like terms: -9n + 5n = -4n -15 + -4n = -3 + -5n + 5n Combine like terms: -5n + 5n = 0 -15 + -4n = -3 + 0 -15 + -4n = -3 Add '15' to each side of the equation. -15 + 15 + -4n = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -4n = -3 + 15 -4n = -3 + 15 Combine like terms: -3 + 15 = 12 -4n = 12 Divide each side by '-4'. n = -3 Simplifying n = -3
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