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Simplifying z + -1.5z + 4 = 2.5(z + 6.4) Reorder the terms: 4 + z + -1.5z = 2.5(z + 6.4) Combine like terms: z + -1.5z = -0.5z 4 + -0.5z = 2.5(z + 6.4) Reorder the terms: 4 + -0.5z = 2.5(6.4 + z) 4 + -0.5z = (6.4 * 2.5 + z * 2.5) 4 + -0.5z = (16 + 2.5z) Solving 4 + -0.5z = 16 + 2.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.5z' to each side of the equation. 4 + -0.5z + -2.5z = 16 + 2.5z + -2.5z Combine like terms: -0.5z + -2.5z = -3z 4 + -3z = 16 + 2.5z + -2.5z Combine like terms: 2.5z + -2.5z = 0.0 4 + -3z = 16 + 0.0 4 + -3z = 16 Add '-4' to each side of the equation. 4 + -4 + -3z = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -3z = 16 + -4 -3z = 16 + -4 Combine like terms: 16 + -4 = 12 -3z = 12 Divide each side by '-3'. z = -4 Simplifying z = -4
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