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Simplifying 2 + -3(2 + 6z) = 4z + 1 2 + (2 * -3 + 6z * -3) = 4z + 1 2 + (-6 + -18z) = 4z + 1 Combine like terms: 2 + -6 = -4 -4 + -18z = 4z + 1 Reorder the terms: -4 + -18z = 1 + 4z Solving -4 + -18z = 1 + 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 + -18z + -4z = 1 + 4z + -4z Combine like terms: -18z + -4z = -22z -4 + -22z = 1 + 4z + -4z Combine like terms: 4z + -4z = 0 -4 + -22z = 1 + 0 -4 + -22z = 1 Add '4' to each side of the equation. -4 + 4 + -22z = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -22z = 1 + 4 -22z = 1 + 4 Combine like terms: 1 + 4 = 5 -22z = 5 Divide each side by '-22'. z = -0.2272727273 Simplifying z = -0.2272727273
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