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Simplifying 3(2z + -1) + -2(z + 7) = 2(z + 1) Reorder the terms: 3(-1 + 2z) + -2(z + 7) = 2(z + 1) (-1 * 3 + 2z * 3) + -2(z + 7) = 2(z + 1) (-3 + 6z) + -2(z + 7) = 2(z + 1) Reorder the terms: -3 + 6z + -2(7 + z) = 2(z + 1) -3 + 6z + (7 * -2 + z * -2) = 2(z + 1) -3 + 6z + (-14 + -2z) = 2(z + 1) Reorder the terms: -3 + -14 + 6z + -2z = 2(z + 1) Combine like terms: -3 + -14 = -17 -17 + 6z + -2z = 2(z + 1) Combine like terms: 6z + -2z = 4z -17 + 4z = 2(z + 1) Reorder the terms: -17 + 4z = 2(1 + z) -17 + 4z = (1 * 2 + z * 2) -17 + 4z = (2 + 2z) Solving -17 + 4z = 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. -17 + 4z + -2z = 2 + 2z + -2z Combine like terms: 4z + -2z = 2z -17 + 2z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -17 + 2z = 2 + 0 -17 + 2z = 2 Add '17' to each side of the equation. -17 + 17 + 2z = 2 + 17 Combine like terms: -17 + 17 = 0 0 + 2z = 2 + 17 2z = 2 + 17 Combine like terms: 2 + 17 = 19 2z = 19 Divide each side by '2'. z = 9.5 Simplifying z = 9.5
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