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Simplifying 5(2z + 7) = 21 + -2(z + -7) Reorder the terms: 5(7 + 2z) = 21 + -2(z + -7) (7 * 5 + 2z * 5) = 21 + -2(z + -7) (35 + 10z) = 21 + -2(z + -7) Reorder the terms: 35 + 10z = 21 + -2(-7 + z) 35 + 10z = 21 + (-7 * -2 + z * -2) 35 + 10z = 21 + (14 + -2z) Combine like terms: 21 + 14 = 35 35 + 10z = 35 + -2z Add '-35' to each side of the equation. 35 + -35 + 10z = 35 + -35 + -2z Combine like terms: 35 + -35 = 0 0 + 10z = 35 + -35 + -2z 10z = 35 + -35 + -2z Combine like terms: 35 + -35 = 0 10z = 0 + -2z 10z = -2z Solving 10z = -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 10z + 2z = -2z + 2z Combine like terms: 10z + 2z = 12z 12z = -2z + 2z Combine like terms: -2z + 2z = 0 12z = 0 Divide each side by '12'. z = 0 Simplifying z = 0
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