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Simplifying 4 + 4(n + -7) = -3(-3n + 9) + -2 Reorder the terms: 4 + 4(-7 + n) = -3(-3n + 9) + -2 4 + (-7 * 4 + n * 4) = -3(-3n + 9) + -2 4 + (-28 + 4n) = -3(-3n + 9) + -2 Combine like terms: 4 + -28 = -24 -24 + 4n = -3(-3n + 9) + -2 Reorder the terms: -24 + 4n = -3(9 + -3n) + -2 -24 + 4n = (9 * -3 + -3n * -3) + -2 -24 + 4n = (-27 + 9n) + -2 Reorder the terms: -24 + 4n = -27 + -2 + 9n Combine like terms: -27 + -2 = -29 -24 + 4n = -29 + 9n Solving -24 + 4n = -29 + 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. -24 + 4n + -9n = -29 + 9n + -9n Combine like terms: 4n + -9n = -5n -24 + -5n = -29 + 9n + -9n Combine like terms: 9n + -9n = 0 -24 + -5n = -29 + 0 -24 + -5n = -29 Add '24' to each side of the equation. -24 + 24 + -5n = -29 + 24 Combine like terms: -24 + 24 = 0 0 + -5n = -29 + 24 -5n = -29 + 24 Combine like terms: -29 + 24 = -5 -5n = -5 Divide each side by '-5'. n = 1 Simplifying n = 1
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