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Simplifying 5z + -2(2z + 1) = 19 Reorder the terms: 5z + -2(1 + 2z) = 19 5z + (1 * -2 + 2z * -2) = 19 5z + (-2 + -4z) = 19 Reorder the terms: -2 + 5z + -4z = 19 Combine like terms: 5z + -4z = 1z -2 + 1z = 19 Solving -2 + 1z = 19 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1z = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 1z = 19 + 2 1z = 19 + 2 Combine like terms: 19 + 2 = 21 1z = 21 Divide each side by '1'. z = 21 Simplifying z = 21
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