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Simplifying 1 + -4(3n + -3) = -8 + -5n Reorder the terms: 1 + -4(-3 + 3n) = -8 + -5n 1 + (-3 * -4 + 3n * -4) = -8 + -5n 1 + (12 + -12n) = -8 + -5n Combine like terms: 1 + 12 = 13 13 + -12n = -8 + -5n Solving 13 + -12n = -8 + -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. 13 + -12n + 5n = -8 + -5n + 5n Combine like terms: -12n + 5n = -7n 13 + -7n = -8 + -5n + 5n Combine like terms: -5n + 5n = 0 13 + -7n = -8 + 0 13 + -7n = -8 Add '-13' to each side of the equation. 13 + -13 + -7n = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -7n = -8 + -13 -7n = -8 + -13 Combine like terms: -8 + -13 = -21 -7n = -21 Divide each side by '-7'. n = 3 Simplifying n = 3
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