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Simplifying 2.8w + -0.07 = 3(1.4w + -3.5) Reorder the terms: -0.07 + 2.8w = 3(1.4w + -3.5) Reorder the terms: -0.07 + 2.8w = 3(-3.5 + 1.4w) -0.07 + 2.8w = (-3.5 * 3 + 1.4w * 3) -0.07 + 2.8w = (-10.5 + 4.2w) Solving -0.07 + 2.8w = -10.5 + 4.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.2w' to each side of the equation. -0.07 + 2.8w + -4.2w = -10.5 + 4.2w + -4.2w Combine like terms: 2.8w + -4.2w = -1.4w -0.07 + -1.4w = -10.5 + 4.2w + -4.2w Combine like terms: 4.2w + -4.2w = 0.0 -0.07 + -1.4w = -10.5 + 0.0 -0.07 + -1.4w = -10.5 Add '0.07' to each side of the equation. -0.07 + 0.07 + -1.4w = -10.5 + 0.07 Combine like terms: -0.07 + 0.07 = 0.00 0.00 + -1.4w = -10.5 + 0.07 -1.4w = -10.5 + 0.07 Combine like terms: -10.5 + 0.07 = -10.43 -1.4w = -10.43 Divide each side by '-1.4'. w = 7.45 Simplifying w = 7.45
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