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Simplifying 6(-1z + 3) + 8(-3z + 6) = 0 Reorder the terms: 6(3 + -1z) + 8(-3z + 6) = 0 (3 * 6 + -1z * 6) + 8(-3z + 6) = 0 (18 + -6z) + 8(-3z + 6) = 0 Reorder the terms: 18 + -6z + 8(6 + -3z) = 0 18 + -6z + (6 * 8 + -3z * 8) = 0 18 + -6z + (48 + -24z) = 0 Reorder the terms: 18 + 48 + -6z + -24z = 0 Combine like terms: 18 + 48 = 66 66 + -6z + -24z = 0 Combine like terms: -6z + -24z = -30z 66 + -30z = 0 Solving 66 + -30z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -30z = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -30z = 0 + -66 -30z = 0 + -66 Combine like terms: 0 + -66 = -66 -30z = -66 Divide each side by '-30'. z = 2.2 Simplifying z = 2.2
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