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Simplifying 5(2z + 7) = 14 + -3(z + -7) Reorder the terms: 5(7 + 2z) = 14 + -3(z + -7) (7 * 5 + 2z * 5) = 14 + -3(z + -7) (35 + 10z) = 14 + -3(z + -7) Reorder the terms: 35 + 10z = 14 + -3(-7 + z) 35 + 10z = 14 + (-7 * -3 + z * -3) 35 + 10z = 14 + (21 + -3z) Combine like terms: 14 + 21 = 35 35 + 10z = 35 + -3z Add '-35' to each side of the equation. 35 + -35 + 10z = 35 + -35 + -3z Combine like terms: 35 + -35 = 0 0 + 10z = 35 + -35 + -3z 10z = 35 + -35 + -3z Combine like terms: 35 + -35 = 0 10z = 0 + -3z 10z = -3z Solving 10z = -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. 10z + 3z = -3z + 3z Combine like terms: 10z + 3z = 13z 13z = -3z + 3z Combine like terms: -3z + 3z = 0 13z = 0 Divide each side by '13'. z = 0 Simplifying z = 0
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