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Simplifying 2(3z + 1) + -1(4z + -2) = 22 + 4z Reorder the terms: 2(1 + 3z) + -1(4z + -2) = 22 + 4z (1 * 2 + 3z * 2) + -1(4z + -2) = 22 + 4z (2 + 6z) + -1(4z + -2) = 22 + 4z Reorder the terms: 2 + 6z + -1(-2 + 4z) = 22 + 4z 2 + 6z + (-2 * -1 + 4z * -1) = 22 + 4z 2 + 6z + (2 + -4z) = 22 + 4z Reorder the terms: 2 + 2 + 6z + -4z = 22 + 4z Combine like terms: 2 + 2 = 4 4 + 6z + -4z = 22 + 4z Combine like terms: 6z + -4z = 2z 4 + 2z = 22 + 4z Solving 4 + 2z = 22 + 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. 4 + 2z + -4z = 22 + 4z + -4z Combine like terms: 2z + -4z = -2z 4 + -2z = 22 + 4z + -4z Combine like terms: 4z + -4z = 0 4 + -2z = 22 + 0 4 + -2z = 22 Add '-4' to each side of the equation. 4 + -4 + -2z = 22 + -4 Combine like terms: 4 + -4 = 0 0 + -2z = 22 + -4 -2z = 22 + -4 Combine like terms: 22 + -4 = 18 -2z = 18 Divide each side by '-2'. z = -9 Simplifying z = -9
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