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Simplifying -1(2x + w) + 6(-6w + -2x) = 0 Reorder the terms: -1(w + 2x) + 6(-6w + -2x) = 0 (w * -1 + 2x * -1) + 6(-6w + -2x) = 0 (-1w + -2x) + 6(-6w + -2x) = 0 -1w + -2x + (-6w * 6 + -2x * 6) = 0 -1w + -2x + (-36w + -12x) = 0 Reorder the terms: -1w + -36w + -2x + -12x = 0 Combine like terms: -1w + -36w = -37w -37w + -2x + -12x = 0 Combine like terms: -2x + -12x = -14x -37w + -14x = 0 Solving -37w + -14x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14x' to each side of the equation. -37w + -14x + 14x = 0 + 14x Combine like terms: -14x + 14x = 0 -37w + 0 = 0 + 14x -37w = 0 + 14x Remove the zero: -37w = 14x Divide each side by '-37'. w = -0.3783783784x Simplifying w = -0.3783783784x
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