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Simplifying 2(6y + 3z + -1) = 12y + 3z + -1 Reorder the terms: 2(-1 + 6y + 3z) = 12y + 3z + -1 (-1 * 2 + 6y * 2 + 3z * 2) = 12y + 3z + -1 (-2 + 12y + 6z) = 12y + 3z + -1 Reorder the terms: -2 + 12y + 6z = -1 + 12y + 3z Add '-12y' to each side of the equation. -2 + 12y + -12y + 6z = -1 + 12y + -12y + 3z Combine like terms: 12y + -12y = 0 -2 + 0 + 6z = -1 + 12y + -12y + 3z -2 + 6z = -1 + 12y + -12y + 3z Combine like terms: 12y + -12y = 0 -2 + 6z = -1 + 0 + 3z -2 + 6z = -1 + 3z Solving -2 + 6z = -1 + 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. -2 + 6z + -3z = -1 + 3z + -3z Combine like terms: 6z + -3z = 3z -2 + 3z = -1 + 3z + -3z Combine like terms: 3z + -3z = 0 -2 + 3z = -1 + 0 -2 + 3z = -1 Add '2' to each side of the equation. -2 + 2 + 3z = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 3z = -1 + 2 3z = -1 + 2 Combine like terms: -1 + 2 = 1 3z = 1 Divide each side by '3'. z = 0.3333333333 Simplifying z = 0.3333333333
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