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Simplifying (3z + -2) * 2 + -8(3z + -2) = 20 Reorder the terms: (-2 + 3z) * 2 + -8(3z + -2) = 20 Reorder the terms for easier multiplication: 2(-2 + 3z) + -8(3z + -2) = 20 (-2 * 2 + 3z * 2) + -8(3z + -2) = 20 (-4 + 6z) + -8(3z + -2) = 20 Reorder the terms: -4 + 6z + -8(-2 + 3z) = 20 -4 + 6z + (-2 * -8 + 3z * -8) = 20 -4 + 6z + (16 + -24z) = 20 Reorder the terms: -4 + 16 + 6z + -24z = 20 Combine like terms: -4 + 16 = 12 12 + 6z + -24z = 20 Combine like terms: 6z + -24z = -18z 12 + -18z = 20 Solving 12 + -18z = 20 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -18z = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -18z = 20 + -12 -18z = 20 + -12 Combine like terms: 20 + -12 = 8 -18z = 8 Divide each side by '-18'. z = -0.4444444444 Simplifying z = -0.4444444444
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