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Simplifying 0.3(4z + 7) + 18.9 = 0.6(4z + -5) Reorder the terms: 0.3(7 + 4z) + 18.9 = 0.6(4z + -5) (7 * 0.3 + 4z * 0.3) + 18.9 = 0.6(4z + -5) (2.1 + 1.2z) + 18.9 = 0.6(4z + -5) Reorder the terms: 2.1 + 18.9 + 1.2z = 0.6(4z + -5) Combine like terms: 2.1 + 18.9 = 21 21 + 1.2z = 0.6(4z + -5) Reorder the terms: 21 + 1.2z = 0.6(-5 + 4z) 21 + 1.2z = (-5 * 0.6 + 4z * 0.6) 21 + 1.2z = (-3 + 2.4z) Solving 21 + 1.2z = -3 + 2.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.4z' to each side of the equation. 21 + 1.2z + -2.4z = -3 + 2.4z + -2.4z Combine like terms: 1.2z + -2.4z = -1.2z 21 + -1.2z = -3 + 2.4z + -2.4z Combine like terms: 2.4z + -2.4z = 0.0 21 + -1.2z = -3 + 0.0 21 + -1.2z = -3 Add '-21' to each side of the equation. 21 + -21 + -1.2z = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -1.2z = -3 + -21 -1.2z = -3 + -21 Combine like terms: -3 + -21 = -24 -1.2z = -24 Divide each side by '-1.2'. z = 20 Simplifying z = 20
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