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Simplifying 0.6(z + -2) = 0.4(z + 7) Reorder the terms: 0.6(-2 + z) = 0.4(z + 7) (-2 * 0.6 + z * 0.6) = 0.4(z + 7) (-1.2 + 0.6z) = 0.4(z + 7) Reorder the terms: -1.2 + 0.6z = 0.4(7 + z) -1.2 + 0.6z = (7 * 0.4 + z * 0.4) -1.2 + 0.6z = (2.8 + 0.4z) Solving -1.2 + 0.6z = 2.8 + 0.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.4z' to each side of the equation. -1.2 + 0.6z + -0.4z = 2.8 + 0.4z + -0.4z Combine like terms: 0.6z + -0.4z = 0.2z -1.2 + 0.2z = 2.8 + 0.4z + -0.4z Combine like terms: 0.4z + -0.4z = 0.0 -1.2 + 0.2z = 2.8 + 0.0 -1.2 + 0.2z = 2.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.2z = 2.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.2z = 2.8 + 1.2 0.2z = 2.8 + 1.2 Combine like terms: 2.8 + 1.2 = 4 0.2z = 4 Divide each side by '0.2'. z = 20 Simplifying z = 20
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