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Simplifying w + 5 = 6 + 3(w + -7) Reorder the terms: 5 + w = 6 + 3(w + -7) Reorder the terms: 5 + w = 6 + 3(-7 + w) 5 + w = 6 + (-7 * 3 + w * 3) 5 + w = 6 + (-21 + 3w) Combine like terms: 6 + -21 = -15 5 + w = -15 + 3w Solving 5 + w = -15 + 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. 5 + w + -3w = -15 + 3w + -3w Combine like terms: w + -3w = -2w 5 + -2w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 5 + -2w = -15 + 0 5 + -2w = -15 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 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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