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Simplifying 1.4(w + -4) + -3.4w = 3 Reorder the terms: 1.4(-4 + w) + -3.4w = 3 (-4 * 1.4 + w * 1.4) + -3.4w = 3 (-5.6 + 1.4w) + -3.4w = 3 Combine like terms: 1.4w + -3.4w = -2w -5.6 + -2w = 3 Solving -5.6 + -2w = 3 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5.6' to each side of the equation. -5.6 + 5.6 + -2w = 3 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + -2w = 3 + 5.6 -2w = 3 + 5.6 Combine like terms: 3 + 5.6 = 8.6 -2w = 8.6 Divide each side by '-2'. w = -4.3 Simplifying w = -4.3
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