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Simplifying 2(6 + -4z) + -2(4z + 8) = z + -12 (6 * 2 + -4z * 2) + -2(4z + 8) = z + -12 (12 + -8z) + -2(4z + 8) = z + -12 Reorder the terms: 12 + -8z + -2(8 + 4z) = z + -12 12 + -8z + (8 * -2 + 4z * -2) = z + -12 12 + -8z + (-16 + -8z) = z + -12 Reorder the terms: 12 + -16 + -8z + -8z = z + -12 Combine like terms: 12 + -16 = -4 -4 + -8z + -8z = z + -12 Combine like terms: -8z + -8z = -16z -4 + -16z = z + -12 Reorder the terms: -4 + -16z = -12 + z Solving -4 + -16z = -12 + 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. -4 + -16z + -1z = -12 + z + -1z Combine like terms: -16z + -1z = -17z -4 + -17z = -12 + z + -1z Combine like terms: z + -1z = 0 -4 + -17z = -12 + 0 -4 + -17z = -12 Add '4' to each side of the equation. -4 + 4 + -17z = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -17z = -12 + 4 -17z = -12 + 4 Combine like terms: -12 + 4 = -8 -17z = -8 Divide each side by '-17'. z = 0.4705882353 Simplifying z = 0.4705882353
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