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Simplifying -1(w + 2) = 0.3(4 + -1w) Reorder the terms: -1(2 + w) = 0.3(4 + -1w) (2 * -1 + w * -1) = 0.3(4 + -1w) (-2 + -1w) = 0.3(4 + -1w) -2 + -1w = (4 * 0.3 + -1w * 0.3) -2 + -1w = (1.2 + -0.3w) Solving -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. -2 + -1w + 0.3w = 1.2 + -0.3w + 0.3w Combine like terms: -1w + 0.3w = -0.7w -2 + -0.7w = 1.2 + -0.3w + 0.3w Combine like terms: -0.3w + 0.3w = 0.0 -2 + -0.7w = 1.2 + 0.0 -2 + -0.7w = 1.2 Add '2' to each side of the equation. -2 + 2 + -0.7w = 1.2 + 2 Combine like terms: -2 + 2 = 0 0 + -0.7w = 1.2 + 2 -0.7w = 1.2 + 2 Combine like terms: 1.2 + 2 = 3.2 -0.7w = 3.2 Divide each side by '-0.7'. w = -4.571428571 Simplifying w = -4.571428571
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