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Simplifying 1w + 1(1.5 + 2x) = 15.6 1w + (1.5 * 1 + 2x * 1) = 15.6 1w + (1.5 + 2x) = 15.6 Reorder the terms: 1.5 + 1w + 2x = 15.6 Solving 1.5 + 1w + 2x = 15.6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + 1w + -1.5 + 2x = 15.6 + -1.5 Reorder the terms: 1.5 + -1.5 + 1w + 2x = 15.6 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 1w + 2x = 15.6 + -1.5 1w + 2x = 15.6 + -1.5 Combine like terms: 15.6 + -1.5 = 14.1 1w + 2x = 14.1 Add '-2x' to each side of the equation. 1w + 2x + -2x = 14.1 + -2x Combine like terms: 2x + -2x = 0 1w + 0 = 14.1 + -2x 1w = 14.1 + -2x Divide each side by '1'. w = 14.1 + -2x Simplifying w = 14.1 + -2x
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