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Simplifying -143 = -5(1 + 4n) + -3n -143 = (1 * -5 + 4n * -5) + -3n -143 = (-5 + -20n) + -3n Combine like terms: -20n + -3n = -23n -143 = -5 + -23n Solving -143 = -5 + -23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23n' to each side of the equation. -143 + 23n = -5 + -23n + 23n Combine like terms: -23n + 23n = 0 -143 + 23n = -5 + 0 -143 + 23n = -5 Add '143' to each side of the equation. -143 + 143 + 23n = -5 + 143 Combine like terms: -143 + 143 = 0 0 + 23n = -5 + 143 23n = -5 + 143 Combine like terms: -5 + 143 = 138 23n = 138 Divide each side by '23'. n = 6 Simplifying n = 6
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