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Simplifying 2(z + 4) + 6 = 4(z + 2) + 3 Reorder the terms: 2(4 + z) + 6 = 4(z + 2) + 3 (4 * 2 + z * 2) + 6 = 4(z + 2) + 3 (8 + 2z) + 6 = 4(z + 2) + 3 Reorder the terms: 8 + 6 + 2z = 4(z + 2) + 3 Combine like terms: 8 + 6 = 14 14 + 2z = 4(z + 2) + 3 Reorder the terms: 14 + 2z = 4(2 + z) + 3 14 + 2z = (2 * 4 + z * 4) + 3 14 + 2z = (8 + 4z) + 3 Reorder the terms: 14 + 2z = 8 + 3 + 4z Combine like terms: 8 + 3 = 11 14 + 2z = 11 + 4z Solving 14 + 2z = 11 + 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. 14 + 2z + -4z = 11 + 4z + -4z Combine like terms: 2z + -4z = -2z 14 + -2z = 11 + 4z + -4z Combine like terms: 4z + -4z = 0 14 + -2z = 11 + 0 14 + -2z = 11 Add '-14' to each side of the equation. 14 + -14 + -2z = 11 + -14 Combine like terms: 14 + -14 = 0 0 + -2z = 11 + -14 -2z = 11 + -14 Combine like terms: 11 + -14 = -3 -2z = -3 Divide each side by '-2'. z = 1.5 Simplifying z = 1.5
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