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Simplifying 2(z + -22) = 39 + -3(z + -4) Reorder the terms: 2(-22 + z) = 39 + -3(z + -4) (-22 * 2 + z * 2) = 39 + -3(z + -4) (-44 + 2z) = 39 + -3(z + -4) Reorder the terms: -44 + 2z = 39 + -3(-4 + z) -44 + 2z = 39 + (-4 * -3 + z * -3) -44 + 2z = 39 + (12 + -3z) Combine like terms: 39 + 12 = 51 -44 + 2z = 51 + -3z Solving -44 + 2z = 51 + -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. -44 + 2z + 3z = 51 + -3z + 3z Combine like terms: 2z + 3z = 5z -44 + 5z = 51 + -3z + 3z Combine like terms: -3z + 3z = 0 -44 + 5z = 51 + 0 -44 + 5z = 51 Add '44' to each side of the equation. -44 + 44 + 5z = 51 + 44 Combine like terms: -44 + 44 = 0 0 + 5z = 51 + 44 5z = 51 + 44 Combine like terms: 51 + 44 = 95 5z = 95 Divide each side by '5'. z = 19 Simplifying z = 19
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