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Simplifying 3(z + -2) + 2(2z + -4) = z + -2 Reorder the terms: 3(-2 + z) + 2(2z + -4) = z + -2 (-2 * 3 + z * 3) + 2(2z + -4) = z + -2 (-6 + 3z) + 2(2z + -4) = z + -2 Reorder the terms: -6 + 3z + 2(-4 + 2z) = z + -2 -6 + 3z + (-4 * 2 + 2z * 2) = z + -2 -6 + 3z + (-8 + 4z) = z + -2 Reorder the terms: -6 + -8 + 3z + 4z = z + -2 Combine like terms: -6 + -8 = -14 -14 + 3z + 4z = z + -2 Combine like terms: 3z + 4z = 7z -14 + 7z = z + -2 Reorder the terms: -14 + 7z = -2 + z Solving -14 + 7z = -2 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -14 + 7z + -1z = -2 + z + -1z Combine like terms: 7z + -1z = 6z -14 + 6z = -2 + z + -1z Combine like terms: z + -1z = 0 -14 + 6z = -2 + 0 -14 + 6z = -2 Add '14' to each side of the equation. -14 + 14 + 6z = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 6z = -2 + 14 6z = -2 + 14 Combine like terms: -2 + 14 = 12 6z = 12 Divide each side by '6'. z = 2 Simplifying z = 2
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