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Simplifying 2[5z + -5(2z + -3)] = 4z + -12 Reorder the terms: 2[5z + -5(-3 + 2z)] = 4z + -12 2[5z + (-3 * -5 + 2z * -5)] = 4z + -12 2[5z + (15 + -10z)] = 4z + -12 Reorder the terms: 2[15 + 5z + -10z] = 4z + -12 Combine like terms: 5z + -10z = -5z 2[15 + -5z] = 4z + -12 [15 * 2 + -5z * 2] = 4z + -12 [30 + -10z] = 4z + -12 Reorder the terms: 30 + -10z = -12 + 4z Solving 30 + -10z = -12 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 30 + -10z + -4z = -12 + 4z + -4z Combine like terms: -10z + -4z = -14z 30 + -14z = -12 + 4z + -4z Combine like terms: 4z + -4z = 0 30 + -14z = -12 + 0 30 + -14z = -12 Add '-30' to each side of the equation. 30 + -30 + -14z = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -14z = -12 + -30 -14z = -12 + -30 Combine like terms: -12 + -30 = -42 -14z = -42 Divide each side by '-14'. z = 3 Simplifying z = 3
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