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Simplifying 2 + 2(8z + -2) = 5(5z + 4) + 3 Reorder the terms: 2 + 2(-2 + 8z) = 5(5z + 4) + 3 2 + (-2 * 2 + 8z * 2) = 5(5z + 4) + 3 2 + (-4 + 16z) = 5(5z + 4) + 3 Combine like terms: 2 + -4 = -2 -2 + 16z = 5(5z + 4) + 3 Reorder the terms: -2 + 16z = 5(4 + 5z) + 3 -2 + 16z = (4 * 5 + 5z * 5) + 3 -2 + 16z = (20 + 25z) + 3 Reorder the terms: -2 + 16z = 20 + 3 + 25z Combine like terms: 20 + 3 = 23 -2 + 16z = 23 + 25z Solving -2 + 16z = 23 + 25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25z' to each side of the equation. -2 + 16z + -25z = 23 + 25z + -25z Combine like terms: 16z + -25z = -9z -2 + -9z = 23 + 25z + -25z Combine like terms: 25z + -25z = 0 -2 + -9z = 23 + 0 -2 + -9z = 23 Add '2' to each side of the equation. -2 + 2 + -9z = 23 + 2 Combine like terms: -2 + 2 = 0 0 + -9z = 23 + 2 -9z = 23 + 2 Combine like terms: 23 + 2 = 25 -9z = 25 Divide each side by '-9'. z = -2.777777778 Simplifying z = -2.777777778
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