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Simplifying 0.3(2z + 6) + 2.2 = 0.4(2z + -5) Reorder the terms: 0.3(6 + 2z) + 2.2 = 0.4(2z + -5) (6 * 0.3 + 2z * 0.3) + 2.2 = 0.4(2z + -5) (1.8 + 0.6z) + 2.2 = 0.4(2z + -5) Reorder the terms: 1.8 + 2.2 + 0.6z = 0.4(2z + -5) Combine like terms: 1.8 + 2.2 = 4 4 + 0.6z = 0.4(2z + -5) Reorder the terms: 4 + 0.6z = 0.4(-5 + 2z) 4 + 0.6z = (-5 * 0.4 + 2z * 0.4) 4 + 0.6z = (-2 + 0.8z) Solving 4 + 0.6z = -2 + 0.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.8z' to each side of the equation. 4 + 0.6z + -0.8z = -2 + 0.8z + -0.8z Combine like terms: 0.6z + -0.8z = -0.2z 4 + -0.2z = -2 + 0.8z + -0.8z Combine like terms: 0.8z + -0.8z = 0.0 4 + -0.2z = -2 + 0.0 4 + -0.2z = -2 Add '-4' to each side of the equation. 4 + -4 + -0.2z = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -0.2z = -2 + -4 -0.2z = -2 + -4 Combine like terms: -2 + -4 = -6 -0.2z = -6 Divide each side by '-0.2'. z = 30 Simplifying z = 30
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