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Simplifying 3(z + -22) = 36 + -3(z + -2) Reorder the terms: 3(-22 + z) = 36 + -3(z + -2) (-22 * 3 + z * 3) = 36 + -3(z + -2) (-66 + 3z) = 36 + -3(z + -2) Reorder the terms: -66 + 3z = 36 + -3(-2 + z) -66 + 3z = 36 + (-2 * -3 + z * -3) -66 + 3z = 36 + (6 + -3z) Combine like terms: 36 + 6 = 42 -66 + 3z = 42 + -3z Solving -66 + 3z = 42 + -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. -66 + 3z + 3z = 42 + -3z + 3z Combine like terms: 3z + 3z = 6z -66 + 6z = 42 + -3z + 3z Combine like terms: -3z + 3z = 0 -66 + 6z = 42 + 0 -66 + 6z = 42 Add '66' to each side of the equation. -66 + 66 + 6z = 42 + 66 Combine like terms: -66 + 66 = 0 0 + 6z = 42 + 66 6z = 42 + 66 Combine like terms: 42 + 66 = 108 6z = 108 Divide each side by '6'. z = 18 Simplifying z = 18
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