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Simplifying -1 + -4(n + -12) = -5(n + -9) Reorder the terms: -1 + -4(-12 + n) = -5(n + -9) -1 + (-12 * -4 + n * -4) = -5(n + -9) -1 + (48 + -4n) = -5(n + -9) Combine like terms: -1 + 48 = 47 47 + -4n = -5(n + -9) Reorder the terms: 47 + -4n = -5(-9 + n) 47 + -4n = (-9 * -5 + n * -5) 47 + -4n = (45 + -5n) Solving 47 + -4n = 45 + -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. 47 + -4n + 5n = 45 + -5n + 5n Combine like terms: -4n + 5n = 1n 47 + 1n = 45 + -5n + 5n Combine like terms: -5n + 5n = 0 47 + 1n = 45 + 0 47 + 1n = 45 Add '-47' to each side of the equation. 47 + -47 + 1n = 45 + -47 Combine like terms: 47 + -47 = 0 0 + 1n = 45 + -47 1n = 45 + -47 Combine like terms: 45 + -47 = -2 1n = -2 Divide each side by '1'. n = -2 Simplifying n = -2
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