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Simplifying -2 + -2(4z + -4) = 5(6z + -8) + -1 Reorder the terms: -2 + -2(-4 + 4z) = 5(6z + -8) + -1 -2 + (-4 * -2 + 4z * -2) = 5(6z + -8) + -1 -2 + (8 + -8z) = 5(6z + -8) + -1 Combine like terms: -2 + 8 = 6 6 + -8z = 5(6z + -8) + -1 Reorder the terms: 6 + -8z = 5(-8 + 6z) + -1 6 + -8z = (-8 * 5 + 6z * 5) + -1 6 + -8z = (-40 + 30z) + -1 Reorder the terms: 6 + -8z = -40 + -1 + 30z Combine like terms: -40 + -1 = -41 6 + -8z = -41 + 30z Solving 6 + -8z = -41 + 30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30z' to each side of the equation. 6 + -8z + -30z = -41 + 30z + -30z Combine like terms: -8z + -30z = -38z 6 + -38z = -41 + 30z + -30z Combine like terms: 30z + -30z = 0 6 + -38z = -41 + 0 6 + -38z = -41 Add '-6' to each side of the equation. 6 + -6 + -38z = -41 + -6 Combine like terms: 6 + -6 = 0 0 + -38z = -41 + -6 -38z = -41 + -6 Combine like terms: -41 + -6 = -47 -38z = -47 Divide each side by '-38'. z = 1.236842105 Simplifying z = 1.236842105
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