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Simplifying -39 = -3w + 6(w + -7) Reorder the terms: -39 = -3w + 6(-7 + w) -39 = -3w + (-7 * 6 + w * 6) -39 = -3w + (-42 + 6w) Reorder the terms: -39 = -42 + -3w + 6w Combine like terms: -3w + 6w = 3w -39 = -42 + 3w Solving -39 = -42 + 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. -39 + -3w = -42 + 3w + -3w Combine like terms: 3w + -3w = 0 -39 + -3w = -42 + 0 -39 + -3w = -42 Add '39' to each side of the equation. -39 + 39 + -3w = -42 + 39 Combine like terms: -39 + 39 = 0 0 + -3w = -42 + 39 -3w = -42 + 39 Combine like terms: -42 + 39 = -3 -3w = -3 Divide each side by '-3'. w = 1 Simplifying w = 1
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