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Simplifying -8(z + 6) = -2(18 + z) Reorder the terms: -8(6 + z) = -2(18 + z) (6 * -8 + z * -8) = -2(18 + z) (-48 + -8z) = -2(18 + z) -48 + -8z = (18 * -2 + z * -2) -48 + -8z = (-36 + -2z) Solving -48 + -8z = -36 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -48 + -8z + 2z = -36 + -2z + 2z Combine like terms: -8z + 2z = -6z -48 + -6z = -36 + -2z + 2z Combine like terms: -2z + 2z = 0 -48 + -6z = -36 + 0 -48 + -6z = -36 Add '48' to each side of the equation. -48 + 48 + -6z = -36 + 48 Combine like terms: -48 + 48 = 0 0 + -6z = -36 + 48 -6z = -36 + 48 Combine like terms: -36 + 48 = 12 -6z = 12 Divide each side by '-6'. z = -2 Simplifying z = -2
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