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Simplifying 4(w + -6) = 3(2w + 1) Reorder the terms: 4(-6 + w) = 3(2w + 1) (-6 * 4 + w * 4) = 3(2w + 1) (-24 + 4w) = 3(2w + 1) Reorder the terms: -24 + 4w = 3(1 + 2w) -24 + 4w = (1 * 3 + 2w * 3) -24 + 4w = (3 + 6w) Solving -24 + 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. -24 + 4w + -6w = 3 + 6w + -6w Combine like terms: 4w + -6w = -2w -24 + -2w = 3 + 6w + -6w Combine like terms: 6w + -6w = 0 -24 + -2w = 3 + 0 -24 + -2w = 3 Add '24' to each side of the equation. -24 + 24 + -2w = 3 + 24 Combine like terms: -24 + 24 = 0 0 + -2w = 3 + 24 -2w = 3 + 24 Combine like terms: 3 + 24 = 27 -2w = 27 Divide each side by '-2'. w = -13.5 Simplifying w = -13.5
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