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Simplifying -3(z + 1) + -8z = -6(2z + 8) Reorder the terms: -3(1 + z) + -8z = -6(2z + 8) (1 * -3 + z * -3) + -8z = -6(2z + 8) (-3 + -3z) + -8z = -6(2z + 8) Combine like terms: -3z + -8z = -11z -3 + -11z = -6(2z + 8) Reorder the terms: -3 + -11z = -6(8 + 2z) -3 + -11z = (8 * -6 + 2z * -6) -3 + -11z = (-48 + -12z) Solving -3 + -11z = -48 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -3 + -11z + 12z = -48 + -12z + 12z Combine like terms: -11z + 12z = 1z -3 + 1z = -48 + -12z + 12z Combine like terms: -12z + 12z = 0 -3 + 1z = -48 + 0 -3 + 1z = -48 Add '3' to each side of the equation. -3 + 3 + 1z = -48 + 3 Combine like terms: -3 + 3 = 0 0 + 1z = -48 + 3 1z = -48 + 3 Combine like terms: -48 + 3 = -45 1z = -45 Divide each side by '1'. z = -45 Simplifying z = -45
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