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Simplifying 7z + 10 + -1z = 8z + -2(2 + -5) Reorder the terms: 10 + 7z + -1z = 8z + -2(2 + -5) Combine like terms: 7z + -1z = 6z 10 + 6z = 8z + -2(2 + -5) Combine like terms: 2 + -5 = -3 10 + 6z = 8z + -2(-3) Multiply -2 * -3 10 + 6z = 8z + 6 Reorder the terms: 10 + 6z = 6 + 8z Solving 10 + 6z = 6 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 10 + 6z + -8z = 6 + 8z + -8z Combine like terms: 6z + -8z = -2z 10 + -2z = 6 + 8z + -8z Combine like terms: 8z + -8z = 0 10 + -2z = 6 + 0 10 + -2z = 6 Add '-10' to each side of the equation. 10 + -10 + -2z = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -2z = 6 + -10 -2z = 6 + -10 Combine like terms: 6 + -10 = -4 -2z = -4 Divide each side by '-2'. z = 2 Simplifying z = 2
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