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Simplifying 7v + 10 + -1z = 8z + -2(z + -5) Reorder the terms: 10 + 7v + -1z = 8z + -2(z + -5) Reorder the terms: 10 + 7v + -1z = 8z + -2(-5 + z) 10 + 7v + -1z = 8z + (-5 * -2 + z * -2) 10 + 7v + -1z = 8z + (10 + -2z) Reorder the terms: 10 + 7v + -1z = 10 + 8z + -2z Combine like terms: 8z + -2z = 6z 10 + 7v + -1z = 10 + 6z Add '-10' to each side of the equation. 10 + 7v + -10 + -1z = 10 + -10 + 6z Reorder the terms: 10 + -10 + 7v + -1z = 10 + -10 + 6z Combine like terms: 10 + -10 = 0 0 + 7v + -1z = 10 + -10 + 6z 7v + -1z = 10 + -10 + 6z Combine like terms: 10 + -10 = 0 7v + -1z = 0 + 6z 7v + -1z = 6z Solving 7v + -1z = 6z Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'z' to each side of the equation. 7v + -1z + z = 6z + z Combine like terms: -1z + z = 0 7v + 0 = 6z + z 7v = 6z + z Combine like terms: 6z + z = 7z 7v = 7z Divide each side by '7'. v = z Simplifying v = z
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