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Simplifying 2.3(z + 4) = -0.2(z + -1.5) Reorder the terms: 2.3(4 + z) = -0.2(z + -1.5) (4 * 2.3 + z * 2.3) = -0.2(z + -1.5) (9.2 + 2.3z) = -0.2(z + -1.5) Reorder the terms: 9.2 + 2.3z = -0.2(-1.5 + z) 9.2 + 2.3z = (-1.5 * -0.2 + z * -0.2) 9.2 + 2.3z = (0.3 + -0.2z) Solving 9.2 + 2.3z = 0.3 + -0.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.2z' to each side of the equation. 9.2 + 2.3z + 0.2z = 0.3 + -0.2z + 0.2z Combine like terms: 2.3z + 0.2z = 2.5z 9.2 + 2.5z = 0.3 + -0.2z + 0.2z Combine like terms: -0.2z + 0.2z = 0.0 9.2 + 2.5z = 0.3 + 0.0 9.2 + 2.5z = 0.3 Add '-9.2' to each side of the equation. 9.2 + -9.2 + 2.5z = 0.3 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + 2.5z = 0.3 + -9.2 2.5z = 0.3 + -9.2 Combine like terms: 0.3 + -9.2 = -8.9 2.5z = -8.9 Divide each side by '2.5'. z = -3.56 Simplifying z = -3.56
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