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Simplifying -1(2 + 7) + (6z + 1) = -2(z + 1) Combine like terms: 2 + 7 = 9 -1(9) + (6z + 1) = -2(z + 1) Multiply -1 * 9 -9 + (6z + 1) = -2(z + 1) Reorder the terms: -9 + (1 + 6z) = -2(z + 1) Remove parenthesis around (1 + 6z) -9 + 1 + 6z = -2(z + 1) Combine like terms: -9 + 1 = -8 -8 + 6z = -2(z + 1) Reorder the terms: -8 + 6z = -2(1 + z) -8 + 6z = (1 * -2 + z * -2) -8 + 6z = (-2 + -2z) Solving -8 + 6z = -2 + -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. -8 + 6z + 2z = -2 + -2z + 2z Combine like terms: 6z + 2z = 8z -8 + 8z = -2 + -2z + 2z Combine like terms: -2z + 2z = 0 -8 + 8z = -2 + 0 -8 + 8z = -2 Add '8' to each side of the equation. -8 + 8 + 8z = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 8z = -2 + 8 8z = -2 + 8 Combine like terms: -2 + 8 = 6 8z = 6 Divide each side by '8'. z = 0.75 Simplifying z = 0.75
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