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Simplifying 8w + 3x + 2y + 42 = 80 Reorder the terms: 42 + 8w + 3x + 2y = 80 Solving 42 + 8w + 3x + 2y = 80 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 8w + 3x + -42 + 2y = 80 + -42 Reorder the terms: 42 + -42 + 8w + 3x + 2y = 80 + -42 Combine like terms: 42 + -42 = 0 0 + 8w + 3x + 2y = 80 + -42 8w + 3x + 2y = 80 + -42 Combine like terms: 80 + -42 = 38 8w + 3x + 2y = 38 Add '-3x' to each side of the equation. 8w + 3x + -3x + 2y = 38 + -3x Combine like terms: 3x + -3x = 0 8w + 0 + 2y = 38 + -3x 8w + 2y = 38 + -3x Add '-2y' to each side of the equation. 8w + 2y + -2y = 38 + -3x + -2y Combine like terms: 2y + -2y = 0 8w + 0 = 38 + -3x + -2y 8w = 38 + -3x + -2y Divide each side by '8'. w = 4.75 + -0.375x + -0.25y Simplifying w = 4.75 + -0.375x + -0.25y
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