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Simplifying -3(-3w + -1x) + 4(-3 + 6w) = 0 (-3w * -3 + -1x * -3) + 4(-3 + 6w) = 0 (9w + 3x) + 4(-3 + 6w) = 0 9w + 3x + (-3 * 4 + 6w * 4) = 0 9w + 3x + (-12 + 24w) = 0 Reorder the terms: -12 + 9w + 24w + 3x = 0 Combine like terms: 9w + 24w = 33w -12 + 33w + 3x = 0 Solving -12 + 33w + 3x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 33w + 12 + 3x = 0 + 12 Reorder the terms: -12 + 12 + 33w + 3x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 33w + 3x = 0 + 12 33w + 3x = 0 + 12 Combine like terms: 0 + 12 = 12 33w + 3x = 12 Add '-3x' to each side of the equation. 33w + 3x + -3x = 12 + -3x Combine like terms: 3x + -3x = 0 33w + 0 = 12 + -3x 33w = 12 + -3x Divide each side by '33'. w = 0.3636363636 + -0.09090909091x Simplifying w = 0.3636363636 + -0.09090909091x
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