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Simplifying 3(z + 7) = 4z + -2 Reorder the terms: 3(7 + z) = 4z + -2 (7 * 3 + z * 3) = 4z + -2 (21 + 3z) = 4z + -2 Reorder the terms: 21 + 3z = -2 + 4z Solving 21 + 3z = -2 + 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. 21 + 3z + -4z = -2 + 4z + -4z Combine like terms: 3z + -4z = -1z 21 + -1z = -2 + 4z + -4z Combine like terms: 4z + -4z = 0 21 + -1z = -2 + 0 21 + -1z = -2 Add '-21' to each side of the equation. 21 + -21 + -1z = -2 + -21 Combine like terms: 21 + -21 = 0 0 + -1z = -2 + -21 -1z = -2 + -21 Combine like terms: -2 + -21 = -23 -1z = -23 Divide each side by '-1'. z = 23 Simplifying z = 23
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