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Simplifying 3w + -7x + 6y + 2z = 16 Solving 3w + -7x + 6y + 2z = 16 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7x' to each side of the equation. 3w + -7x + 6y + 7x + 2z = 16 + 7x Reorder the terms: 3w + -7x + 7x + 6y + 2z = 16 + 7x Combine like terms: -7x + 7x = 0 3w + 0 + 6y + 2z = 16 + 7x 3w + 6y + 2z = 16 + 7x Add '-6y' to each side of the equation. 3w + 6y + -6y + 2z = 16 + 7x + -6y Combine like terms: 6y + -6y = 0 3w + 0 + 2z = 16 + 7x + -6y 3w + 2z = 16 + 7x + -6y Add '-2z' to each side of the equation. 3w + 2z + -2z = 16 + 7x + -6y + -2z Combine like terms: 2z + -2z = 0 3w + 0 = 16 + 7x + -6y + -2z 3w = 16 + 7x + -6y + -2z Divide each side by '3'. w = 5.333333333 + 2.333333333x + -2y + -0.6666666667z Simplifying w = 5.333333333 + 2.333333333x + -2y + -0.6666666667z
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