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Simplifying -4(1 + 4n) + -7n = 111 (1 * -4 + 4n * -4) + -7n = 111 (-4 + -16n) + -7n = 111 Combine like terms: -16n + -7n = -23n -4 + -23n = 111 Solving -4 + -23n = 111 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -23n = 111 + 4 Combine like terms: -4 + 4 = 0 0 + -23n = 111 + 4 -23n = 111 + 4 Combine like terms: 111 + 4 = 115 -23n = 115 Divide each side by '-23'. n = -5 Simplifying n = -5
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