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Simplifying 5z + -4(z + -8) = 2 + 2z Reorder the terms: 5z + -4(-8 + z) = 2 + 2z 5z + (-8 * -4 + z * -4) = 2 + 2z 5z + (32 + -4z) = 2 + 2z Reorder the terms: 32 + 5z + -4z = 2 + 2z Combine like terms: 5z + -4z = 1z 32 + 1z = 2 + 2z Solving 32 + 1z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 32 + 1z + -2z = 2 + 2z + -2z Combine like terms: 1z + -2z = -1z 32 + -1z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 32 + -1z = 2 + 0 32 + -1z = 2 Add '-32' to each side of the equation. 32 + -32 + -1z = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -1z = 2 + -32 -1z = 2 + -32 Combine like terms: 2 + -32 = -30 -1z = -30 Divide each side by '-1'. z = 30 Simplifying z = 30
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