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Simplifying 1.5(4w + 1) + -7.5 = 2.5w + 1 Reorder the terms: 1.5(1 + 4w) + -7.5 = 2.5w + 1 (1 * 1.5 + 4w * 1.5) + -7.5 = 2.5w + 1 (1.5 + 6w) + -7.5 = 2.5w + 1 Reorder the terms: 1.5 + -7.5 + 6w = 2.5w + 1 Combine like terms: 1.5 + -7.5 = -6 -6 + 6w = 2.5w + 1 Reorder the terms: -6 + 6w = 1 + 2.5w Solving -6 + 6w = 1 + 2.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.5w' to each side of the equation. -6 + 6w + -2.5w = 1 + 2.5w + -2.5w Combine like terms: 6w + -2.5w = 3.5w -6 + 3.5w = 1 + 2.5w + -2.5w Combine like terms: 2.5w + -2.5w = 0.0 -6 + 3.5w = 1 + 0.0 -6 + 3.5w = 1 Add '6' to each side of the equation. -6 + 6 + 3.5w = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 3.5w = 1 + 6 3.5w = 1 + 6 Combine like terms: 1 + 6 = 7 3.5w = 7 Divide each side by '3.5'. w = 2 Simplifying w = 2
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