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Simplifying 5(z + 3) = 4(2z + 1) Reorder the terms: 5(3 + z) = 4(2z + 1) (3 * 5 + z * 5) = 4(2z + 1) (15 + 5z) = 4(2z + 1) Reorder the terms: 15 + 5z = 4(1 + 2z) 15 + 5z = (1 * 4 + 2z * 4) 15 + 5z = (4 + 8z) Solving 15 + 5z = 4 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 15 + 5z + -8z = 4 + 8z + -8z Combine like terms: 5z + -8z = -3z 15 + -3z = 4 + 8z + -8z Combine like terms: 8z + -8z = 0 15 + -3z = 4 + 0 15 + -3z = 4 Add '-15' to each side of the equation. 15 + -15 + -3z = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -3z = 4 + -15 -3z = 4 + -15 Combine like terms: 4 + -15 = -11 -3z = -11 Divide each side by '-3'. z = 3.666666667 Simplifying z = 3.666666667
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