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Simplifying 0.2(z + -6) + 10z = 8(z + -2) Reorder the terms: 0.2(-6 + z) + 10z = 8(z + -2) (-6 * 0.2 + z * 0.2) + 10z = 8(z + -2) (-1.2 + 0.2z) + 10z = 8(z + -2) Combine like terms: 0.2z + 10z = 10.2z -1.2 + 10.2z = 8(z + -2) Reorder the terms: -1.2 + 10.2z = 8(-2 + z) -1.2 + 10.2z = (-2 * 8 + z * 8) -1.2 + 10.2z = (-16 + 8z) Solving -1.2 + 10.2z = -16 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -1.2 + 10.2z + -8z = -16 + 8z + -8z Combine like terms: 10.2z + -8z = 2.2z -1.2 + 2.2z = -16 + 8z + -8z Combine like terms: 8z + -8z = 0 -1.2 + 2.2z = -16 + 0 -1.2 + 2.2z = -16 Add '1.2' to each side of the equation. -1.2 + 1.2 + 2.2z = -16 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 2.2z = -16 + 1.2 2.2z = -16 + 1.2 Combine like terms: -16 + 1.2 = -14.8 2.2z = -14.8 Divide each side by '2.2'. z = -6.727272727 Simplifying z = -6.727272727
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