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Simplifying 0.3(3z + 6) + 2.6 = 0.4(3z + -4) Reorder the terms: 0.3(6 + 3z) + 2.6 = 0.4(3z + -4) (6 * 0.3 + 3z * 0.3) + 2.6 = 0.4(3z + -4) (1.8 + 0.9z) + 2.6 = 0.4(3z + -4) Reorder the terms: 1.8 + 2.6 + 0.9z = 0.4(3z + -4) Combine like terms: 1.8 + 2.6 = 4.4 4.4 + 0.9z = 0.4(3z + -4) Reorder the terms: 4.4 + 0.9z = 0.4(-4 + 3z) 4.4 + 0.9z = (-4 * 0.4 + 3z * 0.4) 4.4 + 0.9z = (-1.6 + 1.2z) Solving 4.4 + 0.9z = -1.6 + 1.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.2z' to each side of the equation. 4.4 + 0.9z + -1.2z = -1.6 + 1.2z + -1.2z Combine like terms: 0.9z + -1.2z = -0.3z 4.4 + -0.3z = -1.6 + 1.2z + -1.2z Combine like terms: 1.2z + -1.2z = 0.0 4.4 + -0.3z = -1.6 + 0.0 4.4 + -0.3z = -1.6 Add '-4.4' to each side of the equation. 4.4 + -4.4 + -0.3z = -1.6 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + -0.3z = -1.6 + -4.4 -0.3z = -1.6 + -4.4 Combine like terms: -1.6 + -4.4 = -6 -0.3z = -6 Divide each side by '-0.3'. z = 20 Simplifying z = 20
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