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Simplifying 33 + 15w = 3w + -1x + 4w Reorder the terms: 33 + 15w = 3w + 4w + -1x Combine like terms: 3w + 4w = 7w 33 + 15w = 7w + -1x Solving 33 + 15w = 7w + -1x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 33 + 15w + -7w = 7w + -7w + -1x Combine like terms: 15w + -7w = 8w 33 + 8w = 7w + -7w + -1x Combine like terms: 7w + -7w = 0 33 + 8w = 0 + -1x 33 + 8w = -1x Add '-33' to each side of the equation. 33 + -33 + 8w = -33 + -1x Combine like terms: 33 + -33 = 0 0 + 8w = -33 + -1x 8w = -33 + -1x Divide each side by '8'. w = -4.125 + -0.125x Simplifying w = -4.125 + -0.125x
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