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Simplifying 5(z + 4) = 2z + 19 Reorder the terms: 5(4 + z) = 2z + 19 (4 * 5 + z * 5) = 2z + 19 (20 + 5z) = 2z + 19 Reorder the terms: 20 + 5z = 19 + 2z Solving 20 + 5z = 19 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 20 + 5z + -2z = 19 + 2z + -2z Combine like terms: 5z + -2z = 3z 20 + 3z = 19 + 2z + -2z Combine like terms: 2z + -2z = 0 20 + 3z = 19 + 0 20 + 3z = 19 Add '-20' to each side of the equation. 20 + -20 + 3z = 19 + -20 Combine like terms: 20 + -20 = 0 0 + 3z = 19 + -20 3z = 19 + -20 Combine like terms: 19 + -20 = -1 3z = -1 Divide each side by '3'. z = -0.3333333333 Simplifying z = -0.3333333333
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