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Simplifying 9z + -7 = -6 + 4(z + 6) Reorder the terms: -7 + 9z = -6 + 4(z + 6) Reorder the terms: -7 + 9z = -6 + 4(6 + z) -7 + 9z = -6 + (6 * 4 + z * 4) -7 + 9z = -6 + (24 + 4z) Combine like terms: -6 + 24 = 18 -7 + 9z = 18 + 4z Solving -7 + 9z = 18 + 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. -7 + 9z + -4z = 18 + 4z + -4z Combine like terms: 9z + -4z = 5z -7 + 5z = 18 + 4z + -4z Combine like terms: 4z + -4z = 0 -7 + 5z = 18 + 0 -7 + 5z = 18 Add '7' to each side of the equation. -7 + 7 + 5z = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 5z = 18 + 7 5z = 18 + 7 Combine like terms: 18 + 7 = 25 5z = 25 Divide each side by '5'. z = 5 Simplifying z = 5
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