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Simplifying 8(z + -1) = -3(z + 2) Reorder the terms: 8(-1 + z) = -3(z + 2) (-1 * 8 + z * 8) = -3(z + 2) (-8 + 8z) = -3(z + 2) Reorder the terms: -8 + 8z = -3(2 + z) -8 + 8z = (2 * -3 + z * -3) -8 + 8z = (-6 + -3z) Solving -8 + 8z = -6 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -8 + 8z + 3z = -6 + -3z + 3z Combine like terms: 8z + 3z = 11z -8 + 11z = -6 + -3z + 3z Combine like terms: -3z + 3z = 0 -8 + 11z = -6 + 0 -8 + 11z = -6 Add '8' to each side of the equation. -8 + 8 + 11z = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 11z = -6 + 8 11z = -6 + 8 Combine like terms: -6 + 8 = 2 11z = 2 Divide each side by '11'. z = 0.1818181818 Simplifying z = 0.1818181818
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