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Simplifying 2(3 + -4z) + -5(2z + 3) = 2 + -17 (3 * 2 + -4z * 2) + -5(2z + 3) = 2 + -17 (6 + -8z) + -5(2z + 3) = 2 + -17 Reorder the terms: 6 + -8z + -5(3 + 2z) = 2 + -17 6 + -8z + (3 * -5 + 2z * -5) = 2 + -17 6 + -8z + (-15 + -10z) = 2 + -17 Reorder the terms: 6 + -15 + -8z + -10z = 2 + -17 Combine like terms: 6 + -15 = -9 -9 + -8z + -10z = 2 + -17 Combine like terms: -8z + -10z = -18z -9 + -18z = 2 + -17 Combine like terms: 2 + -17 = -15 -9 + -18z = -15 Solving -9 + -18z = -15 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -18z = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -18z = -15 + 9 -18z = -15 + 9 Combine like terms: -15 + 9 = -6 -18z = -6 Divide each side by '-18'. z = 0.3333333333 Simplifying z = 0.3333333333
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