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Simplifying 2 + 3.5(z + 2) = 5.5z + -3 Reorder the terms: 2 + 3.5(2 + z) = 5.5z + -3 2 + (2 * 3.5 + z * 3.5) = 5.5z + -3 2 + (7 + 3.5z) = 5.5z + -3 Combine like terms: 2 + 7 = 9 9 + 3.5z = 5.5z + -3 Reorder the terms: 9 + 3.5z = -3 + 5.5z Solving 9 + 3.5z = -3 + 5.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.5z' to each side of the equation. 9 + 3.5z + -5.5z = -3 + 5.5z + -5.5z Combine like terms: 3.5z + -5.5z = -2z 9 + -2z = -3 + 5.5z + -5.5z Combine like terms: 5.5z + -5.5z = 0.0 9 + -2z = -3 + 0.0 9 + -2z = -3 Add '-9' to each side of the equation. 9 + -9 + -2z = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -2z = -3 + -9 -2z = -3 + -9 Combine like terms: -3 + -9 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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