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Simplifying 4x + -6 + -1w + -2 = 10w + -3 Reorder the terms: -6 + -2 + -1w + 4x = 10w + -3 Combine like terms: -6 + -2 = -8 -8 + -1w + 4x = 10w + -3 Reorder the terms: -8 + -1w + 4x = -3 + 10w Solving -8 + -1w + 4x = -3 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -8 + -1w + -10w + 4x = -3 + 10w + -10w Combine like terms: -1w + -10w = -11w -8 + -11w + 4x = -3 + 10w + -10w Combine like terms: 10w + -10w = 0 -8 + -11w + 4x = -3 + 0 -8 + -11w + 4x = -3 Add '8' to each side of the equation. -8 + -11w + 8 + 4x = -3 + 8 Reorder the terms: -8 + 8 + -11w + 4x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -11w + 4x = -3 + 8 -11w + 4x = -3 + 8 Combine like terms: -3 + 8 = 5 -11w + 4x = 5 Add '-4x' to each side of the equation. -11w + 4x + -4x = 5 + -4x Combine like terms: 4x + -4x = 0 -11w + 0 = 5 + -4x -11w = 5 + -4x Divide each side by '-11'. w = -0.4545454545 + 0.3636363636x Simplifying w = -0.4545454545 + 0.3636363636x
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