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Simplifying 2(2z + -4) + 2z = 3(z + -3) + 5z Reorder the terms: 2(-4 + 2z) + 2z = 3(z + -3) + 5z (-4 * 2 + 2z * 2) + 2z = 3(z + -3) + 5z (-8 + 4z) + 2z = 3(z + -3) + 5z Combine like terms: 4z + 2z = 6z -8 + 6z = 3(z + -3) + 5z Reorder the terms: -8 + 6z = 3(-3 + z) + 5z -8 + 6z = (-3 * 3 + z * 3) + 5z -8 + 6z = (-9 + 3z) + 5z Combine like terms: 3z + 5z = 8z -8 + 6z = -9 + 8z Solving -8 + 6z = -9 + 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. -8 + 6z + -8z = -9 + 8z + -8z Combine like terms: 6z + -8z = -2z -8 + -2z = -9 + 8z + -8z Combine like terms: 8z + -8z = 0 -8 + -2z = -9 + 0 -8 + -2z = -9 Add '8' to each side of the equation. -8 + 8 + -2z = -9 + 8 Combine like terms: -8 + 8 = 0 0 + -2z = -9 + 8 -2z = -9 + 8 Combine like terms: -9 + 8 = -1 -2z = -1 Divide each side by '-2'. z = 0.5 Simplifying z = 0.5
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