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Simplifying 8 + 5(z + -4) = 3(z + 1) Reorder the terms: 8 + 5(-4 + z) = 3(z + 1) 8 + (-4 * 5 + z * 5) = 3(z + 1) 8 + (-20 + 5z) = 3(z + 1) Combine like terms: 8 + -20 = -12 -12 + 5z = 3(z + 1) Reorder the terms: -12 + 5z = 3(1 + z) -12 + 5z = (1 * 3 + z * 3) -12 + 5z = (3 + 3z) Solving -12 + 5z = 3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -12 + 5z + -3z = 3 + 3z + -3z Combine like terms: 5z + -3z = 2z -12 + 2z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 -12 + 2z = 3 + 0 -12 + 2z = 3 Add '12' to each side of the equation. -12 + 12 + 2z = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 2z = 3 + 12 2z = 3 + 12 Combine like terms: 3 + 12 = 15 2z = 15 Divide each side by '2'. z = 7.5 Simplifying z = 7.5
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