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Simplifying 35 + 7n = -4(1 + 8n) 35 + 7n = (1 * -4 + 8n * -4) 35 + 7n = (-4 + -32n) Solving 35 + 7n = -4 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. 35 + 7n + 32n = -4 + -32n + 32n Combine like terms: 7n + 32n = 39n 35 + 39n = -4 + -32n + 32n Combine like terms: -32n + 32n = 0 35 + 39n = -4 + 0 35 + 39n = -4 Add '-35' to each side of the equation. 35 + -35 + 39n = -4 + -35 Combine like terms: 35 + -35 = 0 0 + 39n = -4 + -35 39n = -4 + -35 Combine like terms: -4 + -35 = -39 39n = -39 Divide each side by '39'. n = -1 Simplifying n = -1
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