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Simplifying 6.3 + 1.5w = 5w + -0.7 Reorder the terms: 6.3 + 1.5w = -0.7 + 5w Solving 6.3 + 1.5w = -0.7 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 6.3 + 1.5w + -5w = -0.7 + 5w + -5w Combine like terms: 1.5w + -5w = -3.5w 6.3 + -3.5w = -0.7 + 5w + -5w Combine like terms: 5w + -5w = 0 6.3 + -3.5w = -0.7 + 0 6.3 + -3.5w = -0.7 Add '-6.3' to each side of the equation. 6.3 + -6.3 + -3.5w = -0.7 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + -3.5w = -0.7 + -6.3 -3.5w = -0.7 + -6.3 Combine like terms: -0.7 + -6.3 = -7 -3.5w = -7 Divide each side by '-3.5'. w = 2 Simplifying w = 2
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