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Simplifying 4(z + -5) = -8(z + 6) Reorder the terms: 4(-5 + z) = -8(z + 6) (-5 * 4 + z * 4) = -8(z + 6) (-20 + 4z) = -8(z + 6) Reorder the terms: -20 + 4z = -8(6 + z) -20 + 4z = (6 * -8 + z * -8) -20 + 4z = (-48 + -8z) Solving -20 + 4z = -48 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -20 + 4z + 8z = -48 + -8z + 8z Combine like terms: 4z + 8z = 12z -20 + 12z = -48 + -8z + 8z Combine like terms: -8z + 8z = 0 -20 + 12z = -48 + 0 -20 + 12z = -48 Add '20' to each side of the equation. -20 + 20 + 12z = -48 + 20 Combine like terms: -20 + 20 = 0 0 + 12z = -48 + 20 12z = -48 + 20 Combine like terms: -48 + 20 = -28 12z = -28 Divide each side by '12'. z = -2.333333333 Simplifying z = -2.333333333
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