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Simplifying 4 + 2.5(z + 2) = 4.5z + -1 Reorder the terms: 4 + 2.5(2 + z) = 4.5z + -1 4 + (2 * 2.5 + z * 2.5) = 4.5z + -1 4 + (5 + 2.5z) = 4.5z + -1 Combine like terms: 4 + 5 = 9 9 + 2.5z = 4.5z + -1 Reorder the terms: 9 + 2.5z = -1 + 4.5z Solving 9 + 2.5z = -1 + 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. 9 + 2.5z + -4.5z = -1 + 4.5z + -4.5z Combine like terms: 2.5z + -4.5z = -2z 9 + -2z = -1 + 4.5z + -4.5z Combine like terms: 4.5z + -4.5z = 0.0 9 + -2z = -1 + 0.0 9 + -2z = -1 Add '-9' to each side of the equation. 9 + -9 + -2z = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -2z = -1 + -9 -2z = -1 + -9 Combine like terms: -1 + -9 = -10 -2z = -10 Divide each side by '-2'. z = 5 Simplifying z = 5
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