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Simplifying 5(6z + -1) + -5(Z + 9) = 23 Reorder the terms: 5(-1 + 6z) + -5(Z + 9) = 23 (-1 * 5 + 6z * 5) + -5(Z + 9) = 23 (-5 + 30z) + -5(Z + 9) = 23 Reorder the terms: -5 + 30z + -5(9 + Z) = 23 -5 + 30z + (9 * -5 + Z * -5) = 23 -5 + 30z + (-45 + -5Z) = 23 Reorder the terms: -5 + -45 + -5Z + 30z = 23 Combine like terms: -5 + -45 = -50 -50 + -5Z + 30z = 23 Solving -50 + -5Z + 30z = 23 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '50' to each side of the equation. -50 + -5Z + 50 + 30z = 23 + 50 Reorder the terms: -50 + 50 + -5Z + 30z = 23 + 50 Combine like terms: -50 + 50 = 0 0 + -5Z + 30z = 23 + 50 -5Z + 30z = 23 + 50 Combine like terms: 23 + 50 = 73 -5Z + 30z = 73 Add '-30z' to each side of the equation. -5Z + 30z + -30z = 73 + -30z Combine like terms: 30z + -30z = 0 -5Z + 0 = 73 + -30z -5Z = 73 + -30z Divide each side by '-5'. Z = -14.6 + 6z Simplifying Z = -14.6 + 6z
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