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