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Simplifying 8z + -7 + 4 = 3z + -7 + 9z Reorder the terms: -7 + 4 + 8z = 3z + -7 + 9z Combine like terms: -7 + 4 = -3 -3 + 8z = 3z + -7 + 9z Reorder the terms: -3 + 8z = -7 + 3z + 9z Combine like terms: 3z + 9z = 12z -3 + 8z = -7 + 12z Solving -3 + 8z = -7 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -3 + 8z + -12z = -7 + 12z + -12z Combine like terms: 8z + -12z = -4z -3 + -4z = -7 + 12z + -12z Combine like terms: 12z + -12z = 0 -3 + -4z = -7 + 0 -3 + -4z = -7 Add '3' to each side of the equation. -3 + 3 + -4z = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -4z = -7 + 3 -4z = -7 + 3 Combine like terms: -7 + 3 = -4 -4z = -4 Divide each side by '-4'. z = 1 Simplifying z = 1
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