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Simplifying 10 + 2z = 8(z + -1) Reorder the terms: 10 + 2z = 8(-1 + z) 10 + 2z = (-1 * 8 + z * 8) 10 + 2z = (-8 + 8z) Solving 10 + 2z = -8 + 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 + 2z + -8z = -8 + 8z + -8z Combine like terms: 2z + -8z = -6z 10 + -6z = -8 + 8z + -8z Combine like terms: 8z + -8z = 0 10 + -6z = -8 + 0 10 + -6z = -8 Add '-10' to each side of the equation. 10 + -10 + -6z = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6z = -8 + -10 -6z = -8 + -10 Combine like terms: -8 + -10 = -18 -6z = -18 Divide each side by '-6'. z = 3 Simplifying z = 3
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