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Simplifying 0.35(8z + -4) = z + 8 + -2z Reorder the terms: 0.35(-4 + 8z) = z + 8 + -2z (-4 * 0.35 + 8z * 0.35) = z + 8 + -2z (-1.4 + 2.8z) = z + 8 + -2z Reorder the terms: -1.4 + 2.8z = 8 + z + -2z Combine like terms: z + -2z = -1z -1.4 + 2.8z = 8 + -1z Solving -1.4 + 2.8z = 8 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -1.4 + 2.8z + z = 8 + -1z + z Combine like terms: 2.8z + z = 3.8z -1.4 + 3.8z = 8 + -1z + z Combine like terms: -1z + z = 0 -1.4 + 3.8z = 8 + 0 -1.4 + 3.8z = 8 Add '1.4' to each side of the equation. -1.4 + 1.4 + 3.8z = 8 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 3.8z = 8 + 1.4 3.8z = 8 + 1.4 Combine like terms: 8 + 1.4 = 9.4 3.8z = 9.4 Divide each side by '3.8'. z = 2.473684211 Simplifying z = 2.473684211
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