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Simplifying 4z + 1 = 0.3(6z + -8) Reorder the terms: 1 + 4z = 0.3(6z + -8) Reorder the terms: 1 + 4z = 0.3(-8 + 6z) 1 + 4z = (-8 * 0.3 + 6z * 0.3) 1 + 4z = (-2.4 + 1.8z) Solving 1 + 4z = -2.4 + 1.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.8z' to each side of the equation. 1 + 4z + -1.8z = -2.4 + 1.8z + -1.8z Combine like terms: 4z + -1.8z = 2.2z 1 + 2.2z = -2.4 + 1.8z + -1.8z Combine like terms: 1.8z + -1.8z = 0.0 1 + 2.2z = -2.4 + 0.0 1 + 2.2z = -2.4 Add '-1' to each side of the equation. 1 + -1 + 2.2z = -2.4 + -1 Combine like terms: 1 + -1 = 0 0 + 2.2z = -2.4 + -1 2.2z = -2.4 + -1 Combine like terms: -2.4 + -1 = -3.4 2.2z = -3.4 Divide each side by '2.2'. z = -1.545454545 Simplifying z = -1.545454545
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