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