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Simplifying -19 = 7z + 5(2z + 3) Reorder the terms: -19 = 7z + 5(3 + 2z) -19 = 7z + (3 * 5 + 2z * 5) -19 = 7z + (15 + 10z) Reorder the terms: -19 = 15 + 7z + 10z Combine like terms: 7z + 10z = 17z -19 = 15 + 17z Solving -19 = 15 + 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. -19 + -17z = 15 + 17z + -17z Combine like terms: 17z + -17z = 0 -19 + -17z = 15 + 0 -19 + -17z = 15 Add '19' to each side of the equation. -19 + 19 + -17z = 15 + 19 Combine like terms: -19 + 19 = 0 0 + -17z = 15 + 19 -17z = 15 + 19 Combine like terms: 15 + 19 = 34 -17z = 34 Divide each side by '-17'. z = -2 Simplifying z = -2
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