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Simplifying -4(3z + 6) + 2z = 15z + 11 Reorder the terms: -4(6 + 3z) + 2z = 15z + 11 (6 * -4 + 3z * -4) + 2z = 15z + 11 (-24 + -12z) + 2z = 15z + 11 Combine like terms: -12z + 2z = -10z -24 + -10z = 15z + 11 Reorder the terms: -24 + -10z = 11 + 15z Solving -24 + -10z = 11 + 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. -24 + -10z + -15z = 11 + 15z + -15z Combine like terms: -10z + -15z = -25z -24 + -25z = 11 + 15z + -15z Combine like terms: 15z + -15z = 0 -24 + -25z = 11 + 0 -24 + -25z = 11 Add '24' to each side of the equation. -24 + 24 + -25z = 11 + 24 Combine like terms: -24 + 24 = 0 0 + -25z = 11 + 24 -25z = 11 + 24 Combine like terms: 11 + 24 = 35 -25z = 35 Divide each side by '-25'. z = -1.4 Simplifying z = -1.4
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