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Simplifying z + -3.9z + 6.3 = 2.4(z + -4) Reorder the terms: 6.3 + z + -3.9z = 2.4(z + -4) Combine like terms: z + -3.9z = -2.9z 6.3 + -2.9z = 2.4(z + -4) Reorder the terms: 6.3 + -2.9z = 2.4(-4 + z) 6.3 + -2.9z = (-4 * 2.4 + z * 2.4) 6.3 + -2.9z = (-9.6 + 2.4z) Solving 6.3 + -2.9z = -9.6 + 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. 6.3 + -2.9z + -2.4z = -9.6 + 2.4z + -2.4z Combine like terms: -2.9z + -2.4z = -5.3z 6.3 + -5.3z = -9.6 + 2.4z + -2.4z Combine like terms: 2.4z + -2.4z = 0.0 6.3 + -5.3z = -9.6 + 0.0 6.3 + -5.3z = -9.6 Add '-6.3' to each side of the equation. 6.3 + -6.3 + -5.3z = -9.6 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + -5.3z = -9.6 + -6.3 -5.3z = -9.6 + -6.3 Combine like terms: -9.6 + -6.3 = -15.9 -5.3z = -15.9 Divide each side by '-5.3'. z = 3 Simplifying z = 3
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