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