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Simplifying -2w + -36 = 8(w + -7) Reorder the terms: -36 + -2w = 8(w + -7) Reorder the terms: -36 + -2w = 8(-7 + w) -36 + -2w = (-7 * 8 + w * 8) -36 + -2w = (-56 + 8w) Solving -36 + -2w = -56 + 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. -36 + -2w + -8w = -56 + 8w + -8w Combine like terms: -2w + -8w = -10w -36 + -10w = -56 + 8w + -8w Combine like terms: 8w + -8w = 0 -36 + -10w = -56 + 0 -36 + -10w = -56 Add '36' to each side of the equation. -36 + 36 + -10w = -56 + 36 Combine like terms: -36 + 36 = 0 0 + -10w = -56 + 36 -10w = -56 + 36 Combine like terms: -56 + 36 = -20 -10w = -20 Divide each side by '-10'. w = 2 Simplifying w = 2
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