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Simplifying 10z + 4 + 19 = 4(-17z + -15) + 5 Reorder the terms: 4 + 19 + 10z = 4(-17z + -15) + 5 Combine like terms: 4 + 19 = 23 23 + 10z = 4(-17z + -15) + 5 Reorder the terms: 23 + 10z = 4(-15 + -17z) + 5 23 + 10z = (-15 * 4 + -17z * 4) + 5 23 + 10z = (-60 + -68z) + 5 Reorder the terms: 23 + 10z = -60 + 5 + -68z Combine like terms: -60 + 5 = -55 23 + 10z = -55 + -68z Solving 23 + 10z = -55 + -68z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '68z' to each side of the equation. 23 + 10z + 68z = -55 + -68z + 68z Combine like terms: 10z + 68z = 78z 23 + 78z = -55 + -68z + 68z Combine like terms: -68z + 68z = 0 23 + 78z = -55 + 0 23 + 78z = -55 Add '-23' to each side of the equation. 23 + -23 + 78z = -55 + -23 Combine like terms: 23 + -23 = 0 0 + 78z = -55 + -23 78z = -55 + -23 Combine like terms: -55 + -23 = -78 78z = -78 Divide each side by '78'. z = -1 Simplifying z = -1
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