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Simplifying (16x + -12y + z) + -2(8x + -6y + -4z) = 42 Remove parenthesis around (16x + -12y + z) 16x + -12y + z + -2(8x + -6y + -4z) = 42 16x + -12y + z + (8x * -2 + -6y * -2 + -4z * -2) = 42 16x + -12y + z + (-16x + 12y + 8z) = 42 Reorder the terms: 16x + -16x + -12y + 12y + z + 8z = 42 Combine like terms: 16x + -16x = 0 0 + -12y + 12y + z + 8z = 42 -12y + 12y + z + 8z = 42 Combine like terms: -12y + 12y = 0 0 + z + 8z = 42 z + 8z = 42 Combine like terms: z + 8z = 9z 9z = 42 Solving 9z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '9'. z = 4.666666667 Simplifying z = 4.666666667
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