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Simplifying 5 + 3.5(z + 2) = 5.5z + -2 Reorder the terms: 5 + 3.5(2 + z) = 5.5z + -2 5 + (2 * 3.5 + z * 3.5) = 5.5z + -2 5 + (7 + 3.5z) = 5.5z + -2 Combine like terms: 5 + 7 = 12 12 + 3.5z = 5.5z + -2 Reorder the terms: 12 + 3.5z = -2 + 5.5z Solving 12 + 3.5z = -2 + 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. 12 + 3.5z + -5.5z = -2 + 5.5z + -5.5z Combine like terms: 3.5z + -5.5z = -2z 12 + -2z = -2 + 5.5z + -5.5z Combine like terms: 5.5z + -5.5z = 0.0 12 + -2z = -2 + 0.0 12 + -2z = -2 Add '-12' to each side of the equation. 12 + -12 + -2z = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -2z = -2 + -12 -2z = -2 + -12 Combine like terms: -2 + -12 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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