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Simplifying 4(2z + -1) = 6(4z + -2) Reorder the terms: 4(-1 + 2z) = 6(4z + -2) (-1 * 4 + 2z * 4) = 6(4z + -2) (-4 + 8z) = 6(4z + -2) Reorder the terms: -4 + 8z = 6(-2 + 4z) -4 + 8z = (-2 * 6 + 4z * 6) -4 + 8z = (-12 + 24z) Solving -4 + 8z = -12 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. -4 + 8z + -24z = -12 + 24z + -24z Combine like terms: 8z + -24z = -16z -4 + -16z = -12 + 24z + -24z Combine like terms: 24z + -24z = 0 -4 + -16z = -12 + 0 -4 + -16z = -12 Add '4' to each side of the equation. -4 + 4 + -16z = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -16z = -12 + 4 -16z = -12 + 4 Combine like terms: -12 + 4 = -8 -16z = -8 Divide each side by '-16'. z = 0.5 Simplifying z = 0.5
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