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Simplifying (-7w + -1w) + -1(13 + -4x + 5w + -5) = 0 Combine like terms: -7w + -1w = -8w (-8w) + -1(13 + -4x + 5w + -5) = 0 (-8w) + -1(13 + -4x + 5w + -5) = 0 Reorder the terms: (-8w) + -1(13 + -5 + 5w + -4x) = 0 Combine like terms: 13 + -5 = 8 (-8w) + -1(8 + 5w + -4x) = 0 (-8w) + (8 * -1 + 5w * -1 + -4x * -1) = 0 (-8w) + (-8 + -5w + 4x) = 0 Reorder the terms: -8 + (-8w) + -5w + 4x = 0 Combine like terms: (-8w) + -5w = -13w -8 + -13w + 4x = 0 Solving -8 + -13w + 4x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -13w + 8 + 4x = 0 + 8 Reorder the terms: -8 + 8 + -13w + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -13w + 4x = 0 + 8 -13w + 4x = 0 + 8 Combine like terms: 0 + 8 = 8 -13w + 4x = 8 Add '-4x' to each side of the equation. -13w + 4x + -4x = 8 + -4x Combine like terms: 4x + -4x = 0 -13w + 0 = 8 + -4x -13w = 8 + -4x Divide each side by '-13'. w = -0.6153846154 + 0.3076923077x Simplifying w = -0.6153846154 + 0.3076923077x
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