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Simplifying 3 + 2.5(z + 2) = 4.5z + -4 Reorder the terms: 3 + 2.5(2 + z) = 4.5z + -4 3 + (2 * 2.5 + z * 2.5) = 4.5z + -4 3 + (5 + 2.5z) = 4.5z + -4 Combine like terms: 3 + 5 = 8 8 + 2.5z = 4.5z + -4 Reorder the terms: 8 + 2.5z = -4 + 4.5z Solving 8 + 2.5z = -4 + 4.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4.5z' to each side of the equation. 8 + 2.5z + -4.5z = -4 + 4.5z + -4.5z Combine like terms: 2.5z + -4.5z = -2z 8 + -2z = -4 + 4.5z + -4.5z Combine like terms: 4.5z + -4.5z = 0.0 8 + -2z = -4 + 0.0 8 + -2z = -4 Add '-8' to each side of the equation. 8 + -8 + -2z = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -2z = -4 + -8 -2z = -4 + -8 Combine like terms: -4 + -8 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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