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Simplifying -7(4x + -6y + -5w) = 0 Reorder the terms: -7(-5w + 4x + -6y) = 0 (-5w * -7 + 4x * -7 + -6y * -7) = 0 (35w + -28x + 42y) = 0 Solving 35w + -28x + 42y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28x' to each side of the equation. 35w + -28x + 28x + 42y = 0 + 28x Combine like terms: -28x + 28x = 0 35w + 0 + 42y = 0 + 28x 35w + 42y = 0 + 28x Remove the zero: 35w + 42y = 28x Add '-42y' to each side of the equation. 35w + 42y + -42y = 28x + -42y Combine like terms: 42y + -42y = 0 35w + 0 = 28x + -42y 35w = 28x + -42y Divide each side by '35'. w = 0.8x + -1.2y Simplifying w = 0.8x + -1.2y
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