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Simplifying 2w + -20 = 8(w + -7) Reorder the terms: -20 + 2w = 8(w + -7) Reorder the terms: -20 + 2w = 8(-7 + w) -20 + 2w = (-7 * 8 + w * 8) -20 + 2w = (-56 + 8w) Solving -20 + 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. -20 + 2w + -8w = -56 + 8w + -8w Combine like terms: 2w + -8w = -6w -20 + -6w = -56 + 8w + -8w Combine like terms: 8w + -8w = 0 -20 + -6w = -56 + 0 -20 + -6w = -56 Add '20' to each side of the equation. -20 + 20 + -6w = -56 + 20 Combine like terms: -20 + 20 = 0 0 + -6w = -56 + 20 -6w = -56 + 20 Combine like terms: -56 + 20 = -36 -6w = -36 Divide each side by '-6'. w = 6 Simplifying w = 6
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