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Simplifying 10 + -2 = -6(z + 5) Combine like terms: 10 + -2 = 8 8 = -6(z + 5) Reorder the terms: 8 = -6(5 + z) 8 = (5 * -6 + z * -6) 8 = (-30 + -6z) Solving 8 = -30 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 8 + 6z = -30 + -6z + 6z Combine like terms: -6z + 6z = 0 8 + 6z = -30 + 0 8 + 6z = -30 Add '-8' to each side of the equation. 8 + -8 + 6z = -30 + -8 Combine like terms: 8 + -8 = 0 0 + 6z = -30 + -8 6z = -30 + -8 Combine like terms: -30 + -8 = -38 6z = -38 Divide each side by '6'. z = -6.333333333 Simplifying z = -6.333333333
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