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Simplifying 16z + 7 = 19 + 6z + 11z Reorder the terms: 7 + 16z = 19 + 6z + 11z Combine like terms: 6z + 11z = 17z 7 + 16z = 19 + 17z Solving 7 + 16z = 19 + 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. 7 + 16z + -17z = 19 + 17z + -17z Combine like terms: 16z + -17z = -1z 7 + -1z = 19 + 17z + -17z Combine like terms: 17z + -17z = 0 7 + -1z = 19 + 0 7 + -1z = 19 Add '-7' to each side of the equation. 7 + -7 + -1z = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 19 + -7 -1z = 19 + -7 Combine like terms: 19 + -7 = 12 -1z = 12 Divide each side by '-1'. z = -12 Simplifying z = -12
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