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Simplifying 4z + 13 + 3z = 2(5z + -10) Reorder the terms: 13 + 4z + 3z = 2(5z + -10) Combine like terms: 4z + 3z = 7z 13 + 7z = 2(5z + -10) Reorder the terms: 13 + 7z = 2(-10 + 5z) 13 + 7z = (-10 * 2 + 5z * 2) 13 + 7z = (-20 + 10z) Solving 13 + 7z = -20 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 13 + 7z + -10z = -20 + 10z + -10z Combine like terms: 7z + -10z = -3z 13 + -3z = -20 + 10z + -10z Combine like terms: 10z + -10z = 0 13 + -3z = -20 + 0 13 + -3z = -20 Add '-13' to each side of the equation. 13 + -13 + -3z = -20 + -13 Combine like terms: 13 + -13 = 0 0 + -3z = -20 + -13 -3z = -20 + -13 Combine like terms: -20 + -13 = -33 -3z = -33 Divide each side by '-3'. z = 11 Simplifying z = 11
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