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Simplifying 7n + -6 = -3(-3n + -3) Reorder the terms: -6 + 7n = -3(-3n + -3) Reorder the terms: -6 + 7n = -3(-3 + -3n) -6 + 7n = (-3 * -3 + -3n * -3) -6 + 7n = (9 + 9n) Solving -6 + 7n = 9 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -6 + 7n + -9n = 9 + 9n + -9n Combine like terms: 7n + -9n = -2n -6 + -2n = 9 + 9n + -9n Combine like terms: 9n + -9n = 0 -6 + -2n = 9 + 0 -6 + -2n = 9 Add '6' to each side of the equation. -6 + 6 + -2n = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -2n = 9 + 6 -2n = 9 + 6 Combine like terms: 9 + 6 = 15 -2n = 15 Divide each side by '-2'. n = -7.5 Simplifying n = -7.5
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