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Simplifying 2 + 2.5(z + 2) = 4.5z + -3 Reorder the terms: 2 + 2.5(2 + z) = 4.5z + -3 2 + (2 * 2.5 + z * 2.5) = 4.5z + -3 2 + (5 + 2.5z) = 4.5z + -3 Combine like terms: 2 + 5 = 7 7 + 2.5z = 4.5z + -3 Reorder the terms: 7 + 2.5z = -3 + 4.5z Solving 7 + 2.5z = -3 + 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. 7 + 2.5z + -4.5z = -3 + 4.5z + -4.5z Combine like terms: 2.5z + -4.5z = -2z 7 + -2z = -3 + 4.5z + -4.5z Combine like terms: 4.5z + -4.5z = 0.0 7 + -2z = -3 + 0.0 7 + -2z = -3 Add '-7' to each side of the equation. 7 + -7 + -2z = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2z = -3 + -7 -2z = -3 + -7 Combine like terms: -3 + -7 = -10 -2z = -10 Divide each side by '-2'. z = 5 Simplifying z = 5
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