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Simplifying -17z + 19 = 5(-3z + 9) Reorder the terms: 19 + -17z = 5(-3z + 9) Reorder the terms: 19 + -17z = 5(9 + -3z) 19 + -17z = (9 * 5 + -3z * 5) 19 + -17z = (45 + -15z) Solving 19 + -17z = 45 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 19 + -17z + 15z = 45 + -15z + 15z Combine like terms: -17z + 15z = -2z 19 + -2z = 45 + -15z + 15z Combine like terms: -15z + 15z = 0 19 + -2z = 45 + 0 19 + -2z = 45 Add '-19' to each side of the equation. 19 + -19 + -2z = 45 + -19 Combine like terms: 19 + -19 = 0 0 + -2z = 45 + -19 -2z = 45 + -19 Combine like terms: 45 + -19 = 26 -2z = 26 Divide each side by '-2'. z = -13 Simplifying z = -13
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