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Simplifying -5w + 2w + -3 = 2(-3w + 1.5) Reorder the terms: -3 + -5w + 2w = 2(-3w + 1.5) Combine like terms: -5w + 2w = -3w -3 + -3w = 2(-3w + 1.5) Reorder the terms: -3 + -3w = 2(1.5 + -3w) -3 + -3w = (1.5 * 2 + -3w * 2) -3 + -3w = (3 + -6w) Solving -3 + -3w = 3 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -3 + -3w + 6w = 3 + -6w + 6w Combine like terms: -3w + 6w = 3w -3 + 3w = 3 + -6w + 6w Combine like terms: -6w + 6w = 0 -3 + 3w = 3 + 0 -3 + 3w = 3 Add '3' to each side of the equation. -3 + 3 + 3w = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 3w = 3 + 3 3w = 3 + 3 Combine like terms: 3 + 3 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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