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Simplifying -5 + 2w + -3 = 2(-3w + 1.5) Reorder the terms: -5 + -3 + 2w = 2(-3w + 1.5) Combine like terms: -5 + -3 = -8 -8 + 2w = 2(-3w + 1.5) Reorder the terms: -8 + 2w = 2(1.5 + -3w) -8 + 2w = (1.5 * 2 + -3w * 2) -8 + 2w = (3 + -6w) Solving -8 + 2w = 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. -8 + 2w + 6w = 3 + -6w + 6w Combine like terms: 2w + 6w = 8w -8 + 8w = 3 + -6w + 6w Combine like terms: -6w + 6w = 0 -8 + 8w = 3 + 0 -8 + 8w = 3 Add '8' to each side of the equation. -8 + 8 + 8w = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 8w = 3 + 8 8w = 3 + 8 Combine like terms: 3 + 8 = 11 8w = 11 Divide each side by '8'. w = 1.375 Simplifying w = 1.375
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