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Simplifying 5 + -2(3z + 2) = (1 + -2z) Reorder the terms: 5 + -2(2 + 3z) = (1 + -2z) 5 + (2 * -2 + 3z * -2) = (1 + -2z) 5 + (-4 + -6z) = (1 + -2z) Combine like terms: 5 + -4 = 1 1 + -6z = (1 + -2z) Remove parenthesis around (1 + -2z) 1 + -6z = 1 + -2z Add '-1' to each side of the equation. 1 + -1 + -6z = 1 + -1 + -2z Combine like terms: 1 + -1 = 0 0 + -6z = 1 + -1 + -2z -6z = 1 + -1 + -2z Combine like terms: 1 + -1 = 0 -6z = 0 + -2z -6z = -2z Solving -6z = -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -6z + 2z = -2z + 2z Combine like terms: -6z + 2z = -4z -4z = -2z + 2z Combine like terms: -2z + 2z = 0 -4z = 0 Divide each side by '-4'. z = 0 Simplifying z = 0
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