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Simplifying 2z + -9 = -5 + -2(2z + 8) Reorder the terms: -9 + 2z = -5 + -2(2z + 8) Reorder the terms: -9 + 2z = -5 + -2(8 + 2z) -9 + 2z = -5 + (8 * -2 + 2z * -2) -9 + 2z = -5 + (-16 + -4z) Combine like terms: -5 + -16 = -21 -9 + 2z = -21 + -4z Solving -9 + 2z = -21 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -9 + 2z + 4z = -21 + -4z + 4z Combine like terms: 2z + 4z = 6z -9 + 6z = -21 + -4z + 4z Combine like terms: -4z + 4z = 0 -9 + 6z = -21 + 0 -9 + 6z = -21 Add '9' to each side of the equation. -9 + 9 + 6z = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 6z = -21 + 9 6z = -21 + 9 Combine like terms: -21 + 9 = -12 6z = -12 Divide each side by '6'. z = -2 Simplifying z = -2
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