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Simplifying 2(4z + -1) + -2(z + 7) = 3(z + 1) Reorder the terms: 2(-1 + 4z) + -2(z + 7) = 3(z + 1) (-1 * 2 + 4z * 2) + -2(z + 7) = 3(z + 1) (-2 + 8z) + -2(z + 7) = 3(z + 1) Reorder the terms: -2 + 8z + -2(7 + z) = 3(z + 1) -2 + 8z + (7 * -2 + z * -2) = 3(z + 1) -2 + 8z + (-14 + -2z) = 3(z + 1) Reorder the terms: -2 + -14 + 8z + -2z = 3(z + 1) Combine like terms: -2 + -14 = -16 -16 + 8z + -2z = 3(z + 1) Combine like terms: 8z + -2z = 6z -16 + 6z = 3(z + 1) Reorder the terms: -16 + 6z = 3(1 + z) -16 + 6z = (1 * 3 + z * 3) -16 + 6z = (3 + 3z) Solving -16 + 6z = 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. -16 + 6z + -3z = 3 + 3z + -3z Combine like terms: 6z + -3z = 3z -16 + 3z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 -16 + 3z = 3 + 0 -16 + 3z = 3 Add '16' to each side of the equation. -16 + 16 + 3z = 3 + 16 Combine like terms: -16 + 16 = 0 0 + 3z = 3 + 16 3z = 3 + 16 Combine like terms: 3 + 16 = 19 3z = 19 Divide each side by '3'. z = 6.333333333 Simplifying z = 6.333333333
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