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Simplifying -2.3 + 0.4w = 0.7(w + 3) Reorder the terms: -2.3 + 0.4w = 0.7(3 + w) -2.3 + 0.4w = (3 * 0.7 + w * 0.7) -2.3 + 0.4w = (2.1 + 0.7w) Solving -2.3 + 0.4w = 2.1 + 0.7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.7w' to each side of the equation. -2.3 + 0.4w + -0.7w = 2.1 + 0.7w + -0.7w Combine like terms: 0.4w + -0.7w = -0.3w -2.3 + -0.3w = 2.1 + 0.7w + -0.7w Combine like terms: 0.7w + -0.7w = 0.0 -2.3 + -0.3w = 2.1 + 0.0 -2.3 + -0.3w = 2.1 Add '2.3' to each side of the equation. -2.3 + 2.3 + -0.3w = 2.1 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + -0.3w = 2.1 + 2.3 -0.3w = 2.1 + 2.3 Combine like terms: 2.1 + 2.3 = 4.4 -0.3w = 4.4 Divide each side by '-0.3'. w = -14.66666667 Simplifying w = -14.66666667
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