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Simplifying 8 + -3z = (-2 + 6) + 6(3z + 4) Combine like terms: -2 + 6 = 4 8 + -3z = (4) + 6(3z + 4) 8 + -3z = 4 + 6(3z + 4) Reorder the terms: 8 + -3z = 4 + 6(4 + 3z) 8 + -3z = 4 + (4 * 6 + 3z * 6) 8 + -3z = 4 + (24 + 18z) Combine like terms: 4 + 24 = 28 8 + -3z = 28 + 18z Solving 8 + -3z = 28 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 8 + -3z + -18z = 28 + 18z + -18z Combine like terms: -3z + -18z = -21z 8 + -21z = 28 + 18z + -18z Combine like terms: 18z + -18z = 0 8 + -21z = 28 + 0 8 + -21z = 28 Add '-8' to each side of the equation. 8 + -8 + -21z = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -21z = 28 + -8 -21z = 28 + -8 Combine like terms: 28 + -8 = 20 -21z = 20 Divide each side by '-21'. z = -0.9523809524 Simplifying z = -0.9523809524
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