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Simplifying 8z + 7 = 4(z + -1) + 11 Reorder the terms: 7 + 8z = 4(z + -1) + 11 Reorder the terms: 7 + 8z = 4(-1 + z) + 11 7 + 8z = (-1 * 4 + z * 4) + 11 7 + 8z = (-4 + 4z) + 11 Reorder the terms: 7 + 8z = -4 + 11 + 4z Combine like terms: -4 + 11 = 7 7 + 8z = 7 + 4z Add '-7' to each side of the equation. 7 + -7 + 8z = 7 + -7 + 4z Combine like terms: 7 + -7 = 0 0 + 8z = 7 + -7 + 4z 8z = 7 + -7 + 4z Combine like terms: 7 + -7 = 0 8z = 0 + 4z 8z = 4z Solving 8z = 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. 8z + -4z = 4z + -4z Combine like terms: 8z + -4z = 4z 4z = 4z + -4z Combine like terms: 4z + -4z = 0 4z = 0 Divide each side by '4'. z = 0 Simplifying z = 0
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