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Simplifying 0.3(3z + 7) + 1.9 = 0.5(3z + -4) Reorder the terms: 0.3(7 + 3z) + 1.9 = 0.5(3z + -4) (7 * 0.3 + 3z * 0.3) + 1.9 = 0.5(3z + -4) (2.1 + 0.9z) + 1.9 = 0.5(3z + -4) Reorder the terms: 2.1 + 1.9 + 0.9z = 0.5(3z + -4) Combine like terms: 2.1 + 1.9 = 4 4 + 0.9z = 0.5(3z + -4) Reorder the terms: 4 + 0.9z = 0.5(-4 + 3z) 4 + 0.9z = (-4 * 0.5 + 3z * 0.5) 4 + 0.9z = (-2 + 1.5z) Solving 4 + 0.9z = -2 + 1.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.5z' to each side of the equation. 4 + 0.9z + -1.5z = -2 + 1.5z + -1.5z Combine like terms: 0.9z + -1.5z = -0.6z 4 + -0.6z = -2 + 1.5z + -1.5z Combine like terms: 1.5z + -1.5z = 0.0 4 + -0.6z = -2 + 0.0 4 + -0.6z = -2 Add '-4' to each side of the equation. 4 + -4 + -0.6z = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -0.6z = -2 + -4 -0.6z = -2 + -4 Combine like terms: -2 + -4 = -6 -0.6z = -6 Divide each side by '-0.6'. z = 10 Simplifying z = 10
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