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Simplifying 6(2y + -3z + -6) + -12y + 16z = -32 Reorder the terms: 6(-6 + 2y + -3z) + -12y + 16z = -32 (-6 * 6 + 2y * 6 + -3z * 6) + -12y + 16z = -32 (-36 + 12y + -18z) + -12y + 16z = -32 Reorder the terms: -36 + 12y + -12y + -18z + 16z = -32 Combine like terms: 12y + -12y = 0 -36 + 0 + -18z + 16z = -32 -36 + -18z + 16z = -32 Combine like terms: -18z + 16z = -2z -36 + -2z = -32 Solving -36 + -2z = -32 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -2z = -32 + 36 Combine like terms: -36 + 36 = 0 0 + -2z = -32 + 36 -2z = -32 + 36 Combine like terms: -32 + 36 = 4 -2z = 4 Divide each side by '-2'. z = -2 Simplifying z = -2
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