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Simplifying 8 + 4(z + -2) = -4z + 7 Reorder the terms: 8 + 4(-2 + z) = -4z + 7 8 + (-2 * 4 + z * 4) = -4z + 7 8 + (-8 + 4z) = -4z + 7 Combine like terms: 8 + -8 = 0 0 + 4z = -4z + 7 4z = -4z + 7 Reorder the terms: 4z = 7 + -4z Solving 4z = 7 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 4z + 4z = 7 + -4z + 4z Combine like terms: 4z + 4z = 8z 8z = 7 + -4z + 4z Combine like terms: -4z + 4z = 0 8z = 7 + 0 8z = 7 Divide each side by '8'. z = 0.875 Simplifying z = 0.875
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