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Simplifying 4z + -5 = 6 + 2(z + 1) Reorder the terms: -5 + 4z = 6 + 2(z + 1) Reorder the terms: -5 + 4z = 6 + 2(1 + z) -5 + 4z = 6 + (1 * 2 + z * 2) -5 + 4z = 6 + (2 + 2z) Combine like terms: 6 + 2 = 8 -5 + 4z = 8 + 2z Solving -5 + 4z = 8 + 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. -5 + 4z + -2z = 8 + 2z + -2z Combine like terms: 4z + -2z = 2z -5 + 2z = 8 + 2z + -2z Combine like terms: 2z + -2z = 0 -5 + 2z = 8 + 0 -5 + 2z = 8 Add '5' to each side of the equation. -5 + 5 + 2z = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 2z = 8 + 5 2z = 8 + 5 Combine like terms: 8 + 5 = 13 2z = 13 Divide each side by '2'. z = 6.5 Simplifying z = 6.5
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