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Simplifying -0.34(z + 4) = 0.24z + -0.38(z + 2) Reorder the terms: -0.34(4 + z) = 0.24z + -0.38(z + 2) (4 * -0.34 + z * -0.34) = 0.24z + -0.38(z + 2) (-1.36 + -0.34z) = 0.24z + -0.38(z + 2) Reorder the terms: -1.36 + -0.34z = 0.24z + -0.38(2 + z) -1.36 + -0.34z = 0.24z + (2 * -0.38 + z * -0.38) -1.36 + -0.34z = 0.24z + (-0.76 + -0.38z) Reorder the terms: -1.36 + -0.34z = -0.76 + 0.24z + -0.38z Combine like terms: 0.24z + -0.38z = -0.14z -1.36 + -0.34z = -0.76 + -0.14z Solving -1.36 + -0.34z = -0.76 + -0.14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.14z' to each side of the equation. -1.36 + -0.34z + 0.14z = -0.76 + -0.14z + 0.14z Combine like terms: -0.34z + 0.14z = -0.2z -1.36 + -0.2z = -0.76 + -0.14z + 0.14z Combine like terms: -0.14z + 0.14z = 0.00 -1.36 + -0.2z = -0.76 + 0.00 -1.36 + -0.2z = -0.76 Add '1.36' to each side of the equation. -1.36 + 1.36 + -0.2z = -0.76 + 1.36 Combine like terms: -1.36 + 1.36 = 0.00 0.00 + -0.2z = -0.76 + 1.36 -0.2z = -0.76 + 1.36 Combine like terms: -0.76 + 1.36 = 0.6 -0.2z = 0.6 Divide each side by '-0.2'. z = -3 Simplifying z = -3
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