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Simplifying -5w + -15 = -3(w + 7) Reorder the terms: -15 + -5w = -3(w + 7) Reorder the terms: -15 + -5w = -3(7 + w) -15 + -5w = (7 * -3 + w * -3) -15 + -5w = (-21 + -3w) Solving -15 + -5w = -21 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -15 + -5w + 3w = -21 + -3w + 3w Combine like terms: -5w + 3w = -2w -15 + -2w = -21 + -3w + 3w Combine like terms: -3w + 3w = 0 -15 + -2w = -21 + 0 -15 + -2w = -21 Add '15' to each side of the equation. -15 + 15 + -2w = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -2w = -21 + 15 -2w = -21 + 15 Combine like terms: -21 + 15 = -6 -2w = -6 Divide each side by '-2'. w = 3 Simplifying w = 3
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