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Simplifying 0.3(3z + 7) + 7.9 = 0.4(3z + -5) Reorder the terms: 0.3(7 + 3z) + 7.9 = 0.4(3z + -5) (7 * 0.3 + 3z * 0.3) + 7.9 = 0.4(3z + -5) (2.1 + 0.9z) + 7.9 = 0.4(3z + -5) Reorder the terms: 2.1 + 7.9 + 0.9z = 0.4(3z + -5) Combine like terms: 2.1 + 7.9 = 10 10 + 0.9z = 0.4(3z + -5) Reorder the terms: 10 + 0.9z = 0.4(-5 + 3z) 10 + 0.9z = (-5 * 0.4 + 3z * 0.4) 10 + 0.9z = (-2 + 1.2z) Solving 10 + 0.9z = -2 + 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. 10 + 0.9z + -1.2z = -2 + 1.2z + -1.2z Combine like terms: 0.9z + -1.2z = -0.3z 10 + -0.3z = -2 + 1.2z + -1.2z Combine like terms: 1.2z + -1.2z = 0.0 10 + -0.3z = -2 + 0.0 10 + -0.3z = -2 Add '-10' to each side of the equation. 10 + -10 + -0.3z = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -0.3z = -2 + -10 -0.3z = -2 + -10 Combine like terms: -2 + -10 = -12 -0.3z = -12 Divide each side by '-0.3'. z = 40 Simplifying z = 40
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