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Simplifying 0.4(4z + 7) + 7.2 = 0.5(4z + -4) Reorder the terms: 0.4(7 + 4z) + 7.2 = 0.5(4z + -4) (7 * 0.4 + 4z * 0.4) + 7.2 = 0.5(4z + -4) (2.8 + 1.6z) + 7.2 = 0.5(4z + -4) Reorder the terms: 2.8 + 7.2 + 1.6z = 0.5(4z + -4) Combine like terms: 2.8 + 7.2 = 10 10 + 1.6z = 0.5(4z + -4) Reorder the terms: 10 + 1.6z = 0.5(-4 + 4z) 10 + 1.6z = (-4 * 0.5 + 4z * 0.5) 10 + 1.6z = (-2 + 2z) Solving 10 + 1.6z = -2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 10 + 1.6z + -2z = -2 + 2z + -2z Combine like terms: 1.6z + -2z = -0.4z 10 + -0.4z = -2 + 2z + -2z Combine like terms: 2z + -2z = 0 10 + -0.4z = -2 + 0 10 + -0.4z = -2 Add '-10' to each side of the equation. 10 + -10 + -0.4z = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -0.4z = -2 + -10 -0.4z = -2 + -10 Combine like terms: -2 + -10 = -12 -0.4z = -12 Divide each side by '-0.4'. z = 30 Simplifying z = 30
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