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Simplifying 6(2z + -3) + -2z = -5(z + -2) + 2 Reorder the terms: 6(-3 + 2z) + -2z = -5(z + -2) + 2 (-3 * 6 + 2z * 6) + -2z = -5(z + -2) + 2 (-18 + 12z) + -2z = -5(z + -2) + 2 Combine like terms: 12z + -2z = 10z -18 + 10z = -5(z + -2) + 2 Reorder the terms: -18 + 10z = -5(-2 + z) + 2 -18 + 10z = (-2 * -5 + z * -5) + 2 -18 + 10z = (10 + -5z) + 2 Reorder the terms: -18 + 10z = 10 + 2 + -5z Combine like terms: 10 + 2 = 12 -18 + 10z = 12 + -5z Solving -18 + 10z = 12 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -18 + 10z + 5z = 12 + -5z + 5z Combine like terms: 10z + 5z = 15z -18 + 15z = 12 + -5z + 5z Combine like terms: -5z + 5z = 0 -18 + 15z = 12 + 0 -18 + 15z = 12 Add '18' to each side of the equation. -18 + 18 + 15z = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 15z = 12 + 18 15z = 12 + 18 Combine like terms: 12 + 18 = 30 15z = 30 Divide each side by '15'. z = 2 Simplifying z = 2
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