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Simplifying 5z + 13 + 12z = 19z Reorder the terms: 13 + 5z + 12z = 19z Combine like terms: 5z + 12z = 17z 13 + 17z = 19z Solving 13 + 17z = 19z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19z' to each side of the equation. 13 + 17z + -19z = 19z + -19z Combine like terms: 17z + -19z = -2z 13 + -2z = 19z + -19z Combine like terms: 19z + -19z = 0 13 + -2z = 0 Add '-13' to each side of the equation. 13 + -13 + -2z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2z = 0 + -13 -2z = 0 + -13 Combine like terms: 0 + -13 = -13 -2z = -13 Divide each side by '-2'. z = 6.5 Simplifying z = 6.5
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