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Simplifying 6(w + -5) = 8w + 44 Reorder the terms: 6(-5 + w) = 8w + 44 (-5 * 6 + w * 6) = 8w + 44 (-30 + 6w) = 8w + 44 Reorder the terms: -30 + 6w = 44 + 8w Solving -30 + 6w = 44 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -30 + 6w + -8w = 44 + 8w + -8w Combine like terms: 6w + -8w = -2w -30 + -2w = 44 + 8w + -8w Combine like terms: 8w + -8w = 0 -30 + -2w = 44 + 0 -30 + -2w = 44 Add '30' to each side of the equation. -30 + 30 + -2w = 44 + 30 Combine like terms: -30 + 30 = 0 0 + -2w = 44 + 30 -2w = 44 + 30 Combine like terms: 44 + 30 = 74 -2w = 74 Divide each side by '-2'. w = -37 Simplifying w = -37
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