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Simplifying 8z + 4 = 3(z + -1) + 7 Reorder the terms: 4 + 8z = 3(z + -1) + 7 Reorder the terms: 4 + 8z = 3(-1 + z) + 7 4 + 8z = (-1 * 3 + z * 3) + 7 4 + 8z = (-3 + 3z) + 7 Reorder the terms: 4 + 8z = -3 + 7 + 3z Combine like terms: -3 + 7 = 4 4 + 8z = 4 + 3z Add '-4' to each side of the equation. 4 + -4 + 8z = 4 + -4 + 3z Combine like terms: 4 + -4 = 0 0 + 8z = 4 + -4 + 3z 8z = 4 + -4 + 3z Combine like terms: 4 + -4 = 0 8z = 0 + 3z 8z = 3z Solving 8z = 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. 8z + -3z = 3z + -3z Combine like terms: 8z + -3z = 5z 5z = 3z + -3z Combine like terms: 3z + -3z = 0 5z = 0 Divide each side by '5'. z = 0 Simplifying z = 0
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