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Simplifying 0.7(w + 5) = 1.2w Reorder the terms: 0.7(5 + w) = 1.2w (5 * 0.7 + w * 0.7) = 1.2w (3.5 + 0.7w) = 1.2w Solving 3.5 + 0.7w = 1.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.2w' to each side of the equation. 3.5 + 0.7w + -1.2w = 1.2w + -1.2w Combine like terms: 0.7w + -1.2w = -0.5w 3.5 + -0.5w = 1.2w + -1.2w Combine like terms: 1.2w + -1.2w = 0.0 3.5 + -0.5w = 0.0 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -0.5w = 0.0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -0.5w = 0.0 + -3.5 -0.5w = 0.0 + -3.5 Combine like terms: 0.0 + -3.5 = -3.5 -0.5w = -3.5 Divide each side by '-0.5'. w = 7 Simplifying w = 7
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