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Simplifying 32 + n = -4(3 + 5n) + -1n 32 + n = (3 * -4 + 5n * -4) + -1n 32 + n = (-12 + -20n) + -1n Combine like terms: -20n + -1n = -21n 32 + n = -12 + -21n Solving 32 + n = -12 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 32 + n + 21n = -12 + -21n + 21n Combine like terms: n + 21n = 22n 32 + 22n = -12 + -21n + 21n Combine like terms: -21n + 21n = 0 32 + 22n = -12 + 0 32 + 22n = -12 Add '-32' to each side of the equation. 32 + -32 + 22n = -12 + -32 Combine like terms: 32 + -32 = 0 0 + 22n = -12 + -32 22n = -12 + -32 Combine like terms: -12 + -32 = -44 22n = -44 Divide each side by '22'. n = -2 Simplifying n = -2
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