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Simplifying 15 + -1(7z + -8) + 17z = 3(4z + 7) Reorder the terms: 15 + -1(-8 + 7z) + 17z = 3(4z + 7) 15 + (-8 * -1 + 7z * -1) + 17z = 3(4z + 7) 15 + (8 + -7z) + 17z = 3(4z + 7) Combine like terms: 15 + 8 = 23 23 + -7z + 17z = 3(4z + 7) Combine like terms: -7z + 17z = 10z 23 + 10z = 3(4z + 7) Reorder the terms: 23 + 10z = 3(7 + 4z) 23 + 10z = (7 * 3 + 4z * 3) 23 + 10z = (21 + 12z) Solving 23 + 10z = 21 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 23 + 10z + -12z = 21 + 12z + -12z Combine like terms: 10z + -12z = -2z 23 + -2z = 21 + 12z + -12z Combine like terms: 12z + -12z = 0 23 + -2z = 21 + 0 23 + -2z = 21 Add '-23' to each side of the equation. 23 + -23 + -2z = 21 + -23 Combine like terms: 23 + -23 = 0 0 + -2z = 21 + -23 -2z = 21 + -23 Combine like terms: 21 + -23 = -2 -2z = -2 Divide each side by '-2'. z = 1 Simplifying z = 1
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