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Simplifying -6w + -44 = 7(w + 3) Reorder the terms: -44 + -6w = 7(w + 3) Reorder the terms: -44 + -6w = 7(3 + w) -44 + -6w = (3 * 7 + w * 7) -44 + -6w = (21 + 7w) Solving -44 + -6w = 21 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -44 + -6w + -7w = 21 + 7w + -7w Combine like terms: -6w + -7w = -13w -44 + -13w = 21 + 7w + -7w Combine like terms: 7w + -7w = 0 -44 + -13w = 21 + 0 -44 + -13w = 21 Add '44' to each side of the equation. -44 + 44 + -13w = 21 + 44 Combine like terms: -44 + 44 = 0 0 + -13w = 21 + 44 -13w = 21 + 44 Combine like terms: 21 + 44 = 65 -13w = 65 Divide each side by '-13'. w = -5 Simplifying w = -5
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