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Simplifying 0.3(4z + 5) + 31.5 = 0.6(4z + -5) Reorder the terms: 0.3(5 + 4z) + 31.5 = 0.6(4z + -5) (5 * 0.3 + 4z * 0.3) + 31.5 = 0.6(4z + -5) (1.5 + 1.2z) + 31.5 = 0.6(4z + -5) Reorder the terms: 1.5 + 31.5 + 1.2z = 0.6(4z + -5) Combine like terms: 1.5 + 31.5 = 33 33 + 1.2z = 0.6(4z + -5) Reorder the terms: 33 + 1.2z = 0.6(-5 + 4z) 33 + 1.2z = (-5 * 0.6 + 4z * 0.6) 33 + 1.2z = (-3 + 2.4z) Solving 33 + 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. 33 + 1.2z + -2.4z = -3 + 2.4z + -2.4z Combine like terms: 1.2z + -2.4z = -1.2z 33 + -1.2z = -3 + 2.4z + -2.4z Combine like terms: 2.4z + -2.4z = 0.0 33 + -1.2z = -3 + 0.0 33 + -1.2z = -3 Add '-33' to each side of the equation. 33 + -33 + -1.2z = -3 + -33 Combine like terms: 33 + -33 = 0 0 + -1.2z = -3 + -33 -1.2z = -3 + -33 Combine like terms: -3 + -33 = -36 -1.2z = -36 Divide each side by '-1.2'. z = 30 Simplifying z = 30
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