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Simplifying 2z + -5(z + 2) = -8 + -2x Reorder the terms: 2z + -5(2 + z) = -8 + -2x 2z + (2 * -5 + z * -5) = -8 + -2x 2z + (-10 + -5z) = -8 + -2x Reorder the terms: -10 + 2z + -5z = -8 + -2x Combine like terms: 2z + -5z = -3z -10 + -3z = -8 + -2x Solving -10 + -3z = -8 + -2x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3z = -8 + 10 + -2x Combine like terms: -10 + 10 = 0 0 + -3z = -8 + 10 + -2x -3z = -8 + 10 + -2x Combine like terms: -8 + 10 = 2 -3z = 2 + -2x Divide each side by '-3'. z = -0.6666666667 + 0.6666666667x Simplifying z = -0.6666666667 + 0.6666666667x
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