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Simplifying 3w + 8x + -11y + 4w + 6x + 3 = 4 Reorder the terms: 3 + 3w + 4w + 8x + 6x + -11y = 4 Combine like terms: 3w + 4w = 7w 3 + 7w + 8x + 6x + -11y = 4 Combine like terms: 8x + 6x = 14x 3 + 7w + 14x + -11y = 4 Solving 3 + 7w + 14x + -11y = 4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 7w + 14x + -3 + -11y = 4 + -3 Reorder the terms: 3 + -3 + 7w + 14x + -11y = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 7w + 14x + -11y = 4 + -3 7w + 14x + -11y = 4 + -3 Combine like terms: 4 + -3 = 1 7w + 14x + -11y = 1 Add '-14x' to each side of the equation. 7w + 14x + -14x + -11y = 1 + -14x Combine like terms: 14x + -14x = 0 7w + 0 + -11y = 1 + -14x 7w + -11y = 1 + -14x Add '11y' to each side of the equation. 7w + -11y + 11y = 1 + -14x + 11y Combine like terms: -11y + 11y = 0 7w + 0 = 1 + -14x + 11y 7w = 1 + -14x + 11y Divide each side by '7'. w = 0.1428571429 + -2x + 1.571428571y Simplifying w = 0.1428571429 + -2x + 1.571428571y
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