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Simplifying 3(0.70) = (w + 3)(0.42) Multiply 3 * 0.70 2.1 = (w + 3)(0.42) Reorder the terms: 2.1 = (3 + w)(0.42) Reorder the terms for easier multiplication: 2.1 = 0.42(3 + w) 2.1 = (3 * 0.42 + w * 0.42) 2.1 = (1.26 + 0.42w) Solving 2.1 = 1.26 + 0.42w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.42w' to each side of the equation. 2.1 + -0.42w = 1.26 + 0.42w + -0.42w Combine like terms: 0.42w + -0.42w = 0.00 2.1 + -0.42w = 1.26 + 0.00 2.1 + -0.42w = 1.26 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.42w = 1.26 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.42w = 1.26 + -2.1 -0.42w = 1.26 + -2.1 Combine like terms: 1.26 + -2.1 = -0.84 -0.42w = -0.84 Divide each side by '-0.42'. w = 2 Simplifying w = 2
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