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Simplifying 0.3(3z + 7) + 19.1 = 0.7(3z + -4) Reorder the terms: 0.3(7 + 3z) + 19.1 = 0.7(3z + -4) (7 * 0.3 + 3z * 0.3) + 19.1 = 0.7(3z + -4) (2.1 + 0.9z) + 19.1 = 0.7(3z + -4) Reorder the terms: 2.1 + 19.1 + 0.9z = 0.7(3z + -4) Combine like terms: 2.1 + 19.1 = 21.2 21.2 + 0.9z = 0.7(3z + -4) Reorder the terms: 21.2 + 0.9z = 0.7(-4 + 3z) 21.2 + 0.9z = (-4 * 0.7 + 3z * 0.7) 21.2 + 0.9z = (-2.8 + 2.1z) Solving 21.2 + 0.9z = -2.8 + 2.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.1z' to each side of the equation. 21.2 + 0.9z + -2.1z = -2.8 + 2.1z + -2.1z Combine like terms: 0.9z + -2.1z = -1.2z 21.2 + -1.2z = -2.8 + 2.1z + -2.1z Combine like terms: 2.1z + -2.1z = 0.0 21.2 + -1.2z = -2.8 + 0.0 21.2 + -1.2z = -2.8 Add '-21.2' to each side of the equation. 21.2 + -21.2 + -1.2z = -2.8 + -21.2 Combine like terms: 21.2 + -21.2 = 0.0 0.0 + -1.2z = -2.8 + -21.2 -1.2z = -2.8 + -21.2 Combine like terms: -2.8 + -21.2 = -24 -1.2z = -24 Divide each side by '-1.2'. z = 20 Simplifying z = 20
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