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Simplifying 19 = 2(4 + z) + -3 19 = (4 * 2 + z * 2) + -3 19 = (8 + 2z) + -3 Reorder the terms: 19 = 8 + -3 + 2z Combine like terms: 8 + -3 = 5 19 = 5 + 2z Solving 19 = 5 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 19 + -2z = 5 + 2z + -2z Combine like terms: 2z + -2z = 0 19 + -2z = 5 + 0 19 + -2z = 5 Add '-19' to each side of the equation. 19 + -19 + -2z = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -2z = 5 + -19 -2z = 5 + -19 Combine like terms: 5 + -19 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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