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Simplifying 2(z + -4) = 3(z + 2) Reorder the terms: 2(-4 + z) = 3(z + 2) (-4 * 2 + z * 2) = 3(z + 2) (-8 + 2z) = 3(z + 2) Reorder the terms: -8 + 2z = 3(2 + z) -8 + 2z = (2 * 3 + z * 3) -8 + 2z = (6 + 3z) Solving -8 + 2z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -8 + 2z + -3z = 6 + 3z + -3z Combine like terms: 2z + -3z = -1z -8 + -1z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -8 + -1z = 6 + 0 -8 + -1z = 6 Add '8' to each side of the equation. -8 + 8 + -1z = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = 6 + 8 -1z = 6 + 8 Combine like terms: 6 + 8 = 14 -1z = 14 Divide each side by '-1'. z = -14 Simplifying z = -14
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