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Simplifying z + 3.5 + 4.4 = 4(z + -2.9) Reorder the terms: 3.5 + 4.4 + z = 4(z + -2.9) Combine like terms: 3.5 + 4.4 = 7.9 7.9 + z = 4(z + -2.9) Reorder the terms: 7.9 + z = 4(-2.9 + z) 7.9 + z = (-2.9 * 4 + z * 4) 7.9 + z = (-11.6 + 4z) Solving 7.9 + z = -11.6 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 7.9 + z + -4z = -11.6 + 4z + -4z Combine like terms: z + -4z = -3z 7.9 + -3z = -11.6 + 4z + -4z Combine like terms: 4z + -4z = 0 7.9 + -3z = -11.6 + 0 7.9 + -3z = -11.6 Add '-7.9' to each side of the equation. 7.9 + -7.9 + -3z = -11.6 + -7.9 Combine like terms: 7.9 + -7.9 = 0.0 0.0 + -3z = -11.6 + -7.9 -3z = -11.6 + -7.9 Combine like terms: -11.6 + -7.9 = -19.5 -3z = -19.5 Divide each side by '-3'. z = 6.5 Simplifying z = 6.5
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