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Simplifying 7 + -7z = -6(2z + -4) Reorder the terms: 7 + -7z = -6(-4 + 2z) 7 + -7z = (-4 * -6 + 2z * -6) 7 + -7z = (24 + -12z) Solving 7 + -7z = 24 + -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. 7 + -7z + 12z = 24 + -12z + 12z Combine like terms: -7z + 12z = 5z 7 + 5z = 24 + -12z + 12z Combine like terms: -12z + 12z = 0 7 + 5z = 24 + 0 7 + 5z = 24 Add '-7' to each side of the equation. 7 + -7 + 5z = 24 + -7 Combine like terms: 7 + -7 = 0 0 + 5z = 24 + -7 5z = 24 + -7 Combine like terms: 24 + -7 = 17 5z = 17 Divide each side by '5'. z = 3.4 Simplifying z = 3.4
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