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Simplifying 32 + 2n = -4(1 + 4n) 32 + 2n = (1 * -4 + 4n * -4) 32 + 2n = (-4 + -16n) Solving 32 + 2n = -4 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. 32 + 2n + 16n = -4 + -16n + 16n Combine like terms: 2n + 16n = 18n 32 + 18n = -4 + -16n + 16n Combine like terms: -16n + 16n = 0 32 + 18n = -4 + 0 32 + 18n = -4 Add '-32' to each side of the equation. 32 + -32 + 18n = -4 + -32 Combine like terms: 32 + -32 = 0 0 + 18n = -4 + -32 18n = -4 + -32 Combine like terms: -4 + -32 = -36 18n = -36 Divide each side by '18'. n = -2 Simplifying n = -2
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