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Simplifying 5 + 2.5(z + 2) = 4.5z + -4 Reorder the terms: 5 + 2.5(2 + z) = 4.5z + -4 5 + (2 * 2.5 + z * 2.5) = 4.5z + -4 5 + (5 + 2.5z) = 4.5z + -4 Combine like terms: 5 + 5 = 10 10 + 2.5z = 4.5z + -4 Reorder the terms: 10 + 2.5z = -4 + 4.5z Solving 10 + 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. 10 + 2.5z + -4.5z = -4 + 4.5z + -4.5z Combine like terms: 2.5z + -4.5z = -2z 10 + -2z = -4 + 4.5z + -4.5z Combine like terms: 4.5z + -4.5z = 0.0 10 + -2z = -4 + 0.0 10 + -2z = -4 Add '-10' to each side of the equation. 10 + -10 + -2z = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -2z = -4 + -10 -2z = -4 + -10 Combine like terms: -4 + -10 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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