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Simplifying 9 + -1z + 1 = -3(z + 2) Reorder the terms: 9 + 1 + -1z = -3(z + 2) Combine like terms: 9 + 1 = 10 10 + -1z = -3(z + 2) Reorder the terms: 10 + -1z = -3(2 + z) 10 + -1z = (2 * -3 + z * -3) 10 + -1z = (-6 + -3z) Solving 10 + -1z = -6 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 10 + -1z + 3z = -6 + -3z + 3z Combine like terms: -1z + 3z = 2z 10 + 2z = -6 + -3z + 3z Combine like terms: -3z + 3z = 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 = -16 2z = -16 Divide each side by '2'. z = -8 Simplifying z = -8
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