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Simplifying 10 + -1z = -6(z + 5) Reorder the terms: 10 + -1z = -6(5 + z) 10 + -1z = (5 * -6 + z * -6) 10 + -1z = (-30 + -6z) Solving 10 + -1z = -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. 10 + -1z + 6z = -30 + -6z + 6z Combine like terms: -1z + 6z = 5z 10 + 5z = -30 + -6z + 6z Combine like terms: -6z + 6z = 0 10 + 5z = -30 + 0 10 + 5z = -30 Add '-10' to each side of the equation. 10 + -10 + 5z = -30 + -10 Combine like terms: 10 + -10 = 0 0 + 5z = -30 + -10 5z = -30 + -10 Combine like terms: -30 + -10 = -40 5z = -40 Divide each side by '5'. z = -8 Simplifying z = -8
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