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Simplifying 2z + -9 = -1(z + -3) Reorder the terms: -9 + 2z = -1(z + -3) Reorder the terms: -9 + 2z = -1(-3 + z) -9 + 2z = (-3 * -1 + z * -1) -9 + 2z = (3 + -1z) Solving -9 + 2z = 3 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -9 + 2z + z = 3 + -1z + z Combine like terms: 2z + z = 3z -9 + 3z = 3 + -1z + z Combine like terms: -1z + z = 0 -9 + 3z = 3 + 0 -9 + 3z = 3 Add '9' to each side of the equation. -9 + 9 + 3z = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 3z = 3 + 9 3z = 3 + 9 Combine like terms: 3 + 9 = 12 3z = 12 Divide each side by '3'. z = 4 Simplifying z = 4
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