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Simplifying 2(1 + -2z) + -2(6z + 3) = z + -6 (1 * 2 + -2z * 2) + -2(6z + 3) = z + -6 (2 + -4z) + -2(6z + 3) = z + -6 Reorder the terms: 2 + -4z + -2(3 + 6z) = z + -6 2 + -4z + (3 * -2 + 6z * -2) = z + -6 2 + -4z + (-6 + -12z) = z + -6 Reorder the terms: 2 + -6 + -4z + -12z = z + -6 Combine like terms: 2 + -6 = -4 -4 + -4z + -12z = z + -6 Combine like terms: -4z + -12z = -16z -4 + -16z = z + -6 Reorder the terms: -4 + -16z = -6 + z Solving -4 + -16z = -6 + 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 = -6 + z + -1z Combine like terms: -16z + -1z = -17z -4 + -17z = -6 + z + -1z Combine like terms: z + -1z = 0 -4 + -17z = -6 + 0 -4 + -17z = -6 Add '4' to each side of the equation. -4 + 4 + -17z = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -17z = -6 + 4 -17z = -6 + 4 Combine like terms: -6 + 4 = -2 -17z = -2 Divide each side by '-17'. z = 0.1176470588 Simplifying z = 0.1176470588
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