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Simplifying 6(z + -3) + -1(5 + 8z) = 3z Reorder the terms: 6(-3 + z) + -1(5 + 8z) = 3z (-3 * 6 + z * 6) + -1(5 + 8z) = 3z (-18 + 6z) + -1(5 + 8z) = 3z -18 + 6z + (5 * -1 + 8z * -1) = 3z -18 + 6z + (-5 + -8z) = 3z Reorder the terms: -18 + -5 + 6z + -8z = 3z Combine like terms: -18 + -5 = -23 -23 + 6z + -8z = 3z Combine like terms: 6z + -8z = -2z -23 + -2z = 3z Solving -23 + -2z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -23 + -2z + -3z = 3z + -3z Combine like terms: -2z + -3z = -5z -23 + -5z = 3z + -3z Combine like terms: 3z + -3z = 0 -23 + -5z = 0 Add '23' to each side of the equation. -23 + 23 + -5z = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -5z = 0 + 23 -5z = 0 + 23 Combine like terms: 0 + 23 = 23 -5z = 23 Divide each side by '-5'. z = -4.6 Simplifying z = -4.6
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