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Simplifying -1(-2x + -1w) + -6(5w + 5x) = 0 Reorder the terms: -1(-1w + -2x) + -6(5w + 5x) = 0 (-1w * -1 + -2x * -1) + -6(5w + 5x) = 0 (1w + 2x) + -6(5w + 5x) = 0 1w + 2x + (5w * -6 + 5x * -6) = 0 1w + 2x + (-30w + -30x) = 0 Reorder the terms: 1w + -30w + 2x + -30x = 0 Combine like terms: 1w + -30w = -29w -29w + 2x + -30x = 0 Combine like terms: 2x + -30x = -28x -29w + -28x = 0 Solving -29w + -28x = 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. -29w + -28x + 28x = 0 + 28x Combine like terms: -28x + 28x = 0 -29w + 0 = 0 + 28x -29w = 0 + 28x Remove the zero: -29w = 28x Divide each side by '-29'. w = -0.9655172414x Simplifying w = -0.9655172414x
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