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Simplifying 4w + 2 + -5 = 3(2w + 1) Reorder the terms: 2 + -5 + 4w = 3(2w + 1) Combine like terms: 2 + -5 = -3 -3 + 4w = 3(2w + 1) Reorder the terms: -3 + 4w = 3(1 + 2w) -3 + 4w = (1 * 3 + 2w * 3) -3 + 4w = (3 + 6w) Solving -3 + 4w = 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 + 4w + -6w = 3 + 6w + -6w Combine like terms: 4w + -6w = -2w -3 + -2w = 3 + 6w + -6w Combine like terms: 6w + -6w = 0 -3 + -2w = 3 + 0 -3 + -2w = 3 Add '3' to each side of the equation. -3 + 3 + -2w = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -2w = 3 + 3 -2w = 3 + 3 Combine like terms: 3 + 3 = 6 -2w = 6 Divide each side by '-2'. w = -3 Simplifying w = -3
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