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Simplifying 2(z + -4) = 5z + 17 Reorder the terms: 2(-4 + z) = 5z + 17 (-4 * 2 + z * 2) = 5z + 17 (-8 + 2z) = 5z + 17 Reorder the terms: -8 + 2z = 17 + 5z Solving -8 + 2z = 17 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -8 + 2z + -5z = 17 + 5z + -5z Combine like terms: 2z + -5z = -3z -8 + -3z = 17 + 5z + -5z Combine like terms: 5z + -5z = 0 -8 + -3z = 17 + 0 -8 + -3z = 17 Add '8' to each side of the equation. -8 + 8 + -3z = 17 + 8 Combine like terms: -8 + 8 = 0 0 + -3z = 17 + 8 -3z = 17 + 8 Combine like terms: 17 + 8 = 25 -3z = 25 Divide each side by '-3'. z = -8.333333333 Simplifying z = -8.333333333
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