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Simplifying 2z + -8(z + 1) = 6z + (3z + -4) Reorder the terms: 2z + -8(1 + z) = 6z + (3z + -4) 2z + (1 * -8 + z * -8) = 6z + (3z + -4) 2z + (-8 + -8z) = 6z + (3z + -4) Reorder the terms: -8 + 2z + -8z = 6z + (3z + -4) Combine like terms: 2z + -8z = -6z -8 + -6z = 6z + (3z + -4) Reorder the terms: -8 + -6z = 6z + (-4 + 3z) Remove parenthesis around (-4 + 3z) -8 + -6z = 6z + -4 + 3z Reorder the terms: -8 + -6z = -4 + 6z + 3z Combine like terms: 6z + 3z = 9z -8 + -6z = -4 + 9z Solving -8 + -6z = -4 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -8 + -6z + -9z = -4 + 9z + -9z Combine like terms: -6z + -9z = -15z -8 + -15z = -4 + 9z + -9z Combine like terms: 9z + -9z = 0 -8 + -15z = -4 + 0 -8 + -15z = -4 Add '8' to each side of the equation. -8 + 8 + -15z = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -15z = -4 + 8 -15z = -4 + 8 Combine like terms: -4 + 8 = 4 -15z = 4 Divide each side by '-15'. z = -0.2666666667 Simplifying z = -0.2666666667
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