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Simplifying -1w + (-0.2) = 1.2 + -0.3w -1w + -0.2 = 1.2 + -0.3w Reorder the terms: -0.2 + -1w = 1.2 + -0.3w Solving -0.2 + -1w = 1.2 + -0.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.3w' to each side of the equation. -0.2 + -1w + 0.3w = 1.2 + -0.3w + 0.3w Combine like terms: -1w + 0.3w = -0.7w -0.2 + -0.7w = 1.2 + -0.3w + 0.3w Combine like terms: -0.3w + 0.3w = 0.0 -0.2 + -0.7w = 1.2 + 0.0 -0.2 + -0.7w = 1.2 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.7w = 1.2 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.7w = 1.2 + 0.2 -0.7w = 1.2 + 0.2 Combine like terms: 1.2 + 0.2 = 1.4 -0.7w = 1.4 Divide each side by '-0.7'. w = -2 Simplifying w = -2
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