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Simplifying -17 + 3z + 12z = 17z + 7 Combine like terms: 3z + 12z = 15z -17 + 15z = 17z + 7 Reorder the terms: -17 + 15z = 7 + 17z Solving -17 + 15z = 7 + 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. -17 + 15z + -17z = 7 + 17z + -17z Combine like terms: 15z + -17z = -2z -17 + -2z = 7 + 17z + -17z Combine like terms: 17z + -17z = 0 -17 + -2z = 7 + 0 -17 + -2z = 7 Add '17' to each side of the equation. -17 + 17 + -2z = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -2z = 7 + 17 -2z = 7 + 17 Combine like terms: 7 + 17 = 24 -2z = 24 Divide each side by '-2'. z = -12 Simplifying z = -12
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