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Simplifying 7 + 4(z + -8) = 3 + -3z Reorder the terms: 7 + 4(-8 + z) = 3 + -3z 7 + (-8 * 4 + z * 4) = 3 + -3z 7 + (-32 + 4z) = 3 + -3z Combine like terms: 7 + -32 = -25 -25 + 4z = 3 + -3z Solving -25 + 4z = 3 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -25 + 4z + 3z = 3 + -3z + 3z Combine like terms: 4z + 3z = 7z -25 + 7z = 3 + -3z + 3z Combine like terms: -3z + 3z = 0 -25 + 7z = 3 + 0 -25 + 7z = 3 Add '25' to each side of the equation. -25 + 25 + 7z = 3 + 25 Combine like terms: -25 + 25 = 0 0 + 7z = 3 + 25 7z = 3 + 25 Combine like terms: 3 + 25 = 28 7z = 28 Divide each side by '7'. z = 4 Simplifying z = 4
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