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Simplifying -1(2 + 6) + (3z + 1) = -3(z + 1) Combine like terms: 2 + 6 = 8 -1(8) + (3z + 1) = -3(z + 1) Multiply -1 * 8 -8 + (3z + 1) = -3(z + 1) Reorder the terms: -8 + (1 + 3z) = -3(z + 1) Remove parenthesis around (1 + 3z) -8 + 1 + 3z = -3(z + 1) Combine like terms: -8 + 1 = -7 -7 + 3z = -3(z + 1) Reorder the terms: -7 + 3z = -3(1 + z) -7 + 3z = (1 * -3 + z * -3) -7 + 3z = (-3 + -3z) Solving -7 + 3z = -3 + -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. -7 + 3z + 3z = -3 + -3z + 3z Combine like terms: 3z + 3z = 6z -7 + 6z = -3 + -3z + 3z Combine like terms: -3z + 3z = 0 -7 + 6z = -3 + 0 -7 + 6z = -3 Add '7' to each side of the equation. -7 + 7 + 6z = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 6z = -3 + 7 6z = -3 + 7 Combine like terms: -3 + 7 = 4 6z = 4 Divide each side by '6'. z = 0.6666666667 Simplifying z = 0.6666666667
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