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Simplifying -4(3 + 2z) = 7 + 3(2z + -4) (3 * -4 + 2z * -4) = 7 + 3(2z + -4) (-12 + -8z) = 7 + 3(2z + -4) Reorder the terms: -12 + -8z = 7 + 3(-4 + 2z) -12 + -8z = 7 + (-4 * 3 + 2z * 3) -12 + -8z = 7 + (-12 + 6z) Combine like terms: 7 + -12 = -5 -12 + -8z = -5 + 6z Solving -12 + -8z = -5 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -12 + -8z + -6z = -5 + 6z + -6z Combine like terms: -8z + -6z = -14z -12 + -14z = -5 + 6z + -6z Combine like terms: 6z + -6z = 0 -12 + -14z = -5 + 0 -12 + -14z = -5 Add '12' to each side of the equation. -12 + 12 + -14z = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -14z = -5 + 12 -14z = -5 + 12 Combine like terms: -5 + 12 = 7 -14z = 7 Divide each side by '-14'. z = -0.5 Simplifying z = -0.5
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