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Simplifying 7w + 7y + 4x + 9x + -14y = 3w Reorder the terms: 7w + 4x + 9x + 7y + -14y = 3w Combine like terms: 4x + 9x = 13x 7w + 13x + 7y + -14y = 3w Combine like terms: 7y + -14y = -7y 7w + 13x + -7y = 3w Solving 7w + 13x + -7y = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 7w + 13x + -3w + -7y = 3w + -3w Reorder the terms: 7w + -3w + 13x + -7y = 3w + -3w Combine like terms: 7w + -3w = 4w 4w + 13x + -7y = 3w + -3w Combine like terms: 3w + -3w = 0 4w + 13x + -7y = 0 Add '-13x' to each side of the equation. 4w + 13x + -13x + -7y = 0 + -13x Combine like terms: 13x + -13x = 0 4w + 0 + -7y = 0 + -13x 4w + -7y = 0 + -13x Remove the zero: 4w + -7y = -13x Add '7y' to each side of the equation. 4w + -7y + 7y = -13x + 7y Combine like terms: -7y + 7y = 0 4w + 0 = -13x + 7y 4w = -13x + 7y Divide each side by '4'. w = -3.25x + 1.75y Simplifying w = -3.25x + 1.75y
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