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Simplifying 3(2z + -4) + -4z = -1.5(20z + 10) Reorder the terms: 3(-4 + 2z) + -4z = -1.5(20z + 10) (-4 * 3 + 2z * 3) + -4z = -1.5(20z + 10) (-12 + 6z) + -4z = -1.5(20z + 10) Combine like terms: 6z + -4z = 2z -12 + 2z = -1.5(20z + 10) Reorder the terms: -12 + 2z = -1.5(10 + 20z) -12 + 2z = (10 * -1.5 + 20z * -1.5) -12 + 2z = (-15 + -30z) Solving -12 + 2z = -15 + -30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30z' to each side of the equation. -12 + 2z + 30z = -15 + -30z + 30z Combine like terms: 2z + 30z = 32z -12 + 32z = -15 + -30z + 30z Combine like terms: -30z + 30z = 0 -12 + 32z = -15 + 0 -12 + 32z = -15 Add '12' to each side of the equation. -12 + 12 + 32z = -15 + 12 Combine like terms: -12 + 12 = 0 0 + 32z = -15 + 12 32z = -15 + 12 Combine like terms: -15 + 12 = -3 32z = -3 Divide each side by '32'. z = -0.09375 Simplifying z = -0.09375
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