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Simplifying 5(z + 4) + -13 = 2z + 19 Reorder the terms: 5(4 + z) + -13 = 2z + 19 (4 * 5 + z * 5) + -13 = 2z + 19 (20 + 5z) + -13 = 2z + 19 Reorder the terms: 20 + -13 + 5z = 2z + 19 Combine like terms: 20 + -13 = 7 7 + 5z = 2z + 19 Reorder the terms: 7 + 5z = 19 + 2z Solving 7 + 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. 7 + 5z + -2z = 19 + 2z + -2z Combine like terms: 5z + -2z = 3z 7 + 3z = 19 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + 3z = 19 + 0 7 + 3z = 19 Add '-7' to each side of the equation. 7 + -7 + 3z = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 3z = 19 + -7 3z = 19 + -7 Combine like terms: 19 + -7 = 12 3z = 12 Divide each side by '3'. z = 4 Simplifying z = 4
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