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Simplifying 5z + -3(z + -7) = 2 + 3z Reorder the terms: 5z + -3(-7 + z) = 2 + 3z 5z + (-7 * -3 + z * -3) = 2 + 3z 5z + (21 + -3z) = 2 + 3z Reorder the terms: 21 + 5z + -3z = 2 + 3z Combine like terms: 5z + -3z = 2z 21 + 2z = 2 + 3z Solving 21 + 2z = 2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 21 + 2z + -3z = 2 + 3z + -3z Combine like terms: 2z + -3z = -1z 21 + -1z = 2 + 3z + -3z Combine like terms: 3z + -3z = 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 = -19 -1z = -19 Divide each side by '-1'. z = 19 Simplifying z = 19
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