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Simplifying 10 + -7 = -6(z + 5) Combine like terms: 10 + -7 = 3 3 = -6(z + 5) Reorder the terms: 3 = -6(5 + z) 3 = (5 * -6 + z * -6) 3 = (-30 + -6z) Solving 3 = -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. 3 + 6z = -30 + -6z + 6z Combine like terms: -6z + 6z = 0 3 + 6z = -30 + 0 3 + 6z = -30 Add '-3' to each side of the equation. 3 + -3 + 6z = -30 + -3 Combine like terms: 3 + -3 = 0 0 + 6z = -30 + -3 6z = -30 + -3 Combine like terms: -30 + -3 = -33 6z = -33 Divide each side by '6'. z = -5.5 Simplifying z = -5.5
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