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Simplifying 15 + -2(z + -3) = 5z Reorder the terms: 15 + -2(-3 + z) = 5z 15 + (-3 * -2 + z * -2) = 5z 15 + (6 + -2z) = 5z Combine like terms: 15 + 6 = 21 21 + -2z = 5z Solving 21 + -2z = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 21 + -2z + -5z = 5z + -5z Combine like terms: -2z + -5z = -7z 21 + -7z = 5z + -5z Combine like terms: 5z + -5z = 0 21 + -7z = 0 Add '-21' to each side of the equation. 21 + -21 + -7z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7z = 0 + -21 -7z = 0 + -21 Combine like terms: 0 + -21 = -21 -7z = -21 Divide each side by '-7'. z = 3 Simplifying z = 3
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