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Simplifying 5 = -1(2 + 6z) + 10z 5 = (2 * -1 + 6z * -1) + 10z 5 = (-2 + -6z) + 10z Combine like terms: -6z + 10z = 4z 5 = -2 + 4z Solving 5 = -2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 5 + -4z = -2 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + -4z = -2 + 0 5 + -4z = -2 Add '-5' to each side of the equation. 5 + -5 + -4z = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -4z = -2 + -5 -4z = -2 + -5 Combine like terms: -2 + -5 = -7 -4z = -7 Divide each side by '-4'. z = 1.75 Simplifying z = 1.75
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