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Simplifying -2(w + 6) + 7 = -15 Reorder the terms: -2(6 + w) + 7 = -15 (6 * -2 + w * -2) + 7 = -15 (-12 + -2w) + 7 = -15 Reorder the terms: -12 + 7 + -2w = -15 Combine like terms: -12 + 7 = -5 -5 + -2w = -15 Solving -5 + -2w = -15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2w = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -2w = -15 + 5 -2w = -15 + 5 Combine like terms: -15 + 5 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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