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Simplifying 3w + 10x + 7y + -6z = 7 Solving 3w + 10x + 7y + -6z = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10x' to each side of the equation. 3w + 10x + 7y + -10x + -6z = 7 + -10x Reorder the terms: 3w + 10x + -10x + 7y + -6z = 7 + -10x Combine like terms: 10x + -10x = 0 3w + 0 + 7y + -6z = 7 + -10x 3w + 7y + -6z = 7 + -10x Add '-7y' to each side of the equation. 3w + 7y + -7y + -6z = 7 + -10x + -7y Combine like terms: 7y + -7y = 0 3w + 0 + -6z = 7 + -10x + -7y 3w + -6z = 7 + -10x + -7y Add '6z' to each side of the equation. 3w + -6z + 6z = 7 + -10x + -7y + 6z Combine like terms: -6z + 6z = 0 3w + 0 = 7 + -10x + -7y + 6z 3w = 7 + -10x + -7y + 6z Divide each side by '3'. w = 2.333333333 + -3.333333333x + -2.333333333y + 2z Simplifying w = 2.333333333 + -3.333333333x + -2.333333333y + 2z
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