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Simplifying 6x + 2w + 5 + 1.5w + 1.5w = 21 Reorder the terms: 5 + 2w + 1.5w + 1.5w + 6x = 21 Combine like terms: 2w + 1.5w = 3.5w 5 + 3.5w + 1.5w + 6x = 21 Combine like terms: 3.5w + 1.5w = 5w 5 + 5w + 6x = 21 Solving 5 + 5w + 6x = 21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 5w + -5 + 6x = 21 + -5 Reorder the terms: 5 + -5 + 5w + 6x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 5w + 6x = 21 + -5 5w + 6x = 21 + -5 Combine like terms: 21 + -5 = 16 5w + 6x = 16 Add '-6x' to each side of the equation. 5w + 6x + -6x = 16 + -6x Combine like terms: 6x + -6x = 0 5w + 0 = 16 + -6x 5w = 16 + -6x Divide each side by '5'. w = 3.2 + -1.2x Simplifying w = 3.2 + -1.2x
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