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Simplifying -3w + -36 = -6(w + 7) Reorder the terms: -36 + -3w = -6(w + 7) Reorder the terms: -36 + -3w = -6(7 + w) -36 + -3w = (7 * -6 + w * -6) -36 + -3w = (-42 + -6w) Solving -36 + -3w = -42 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -36 + -3w + 6w = -42 + -6w + 6w Combine like terms: -3w + 6w = 3w -36 + 3w = -42 + -6w + 6w Combine like terms: -6w + 6w = 0 -36 + 3w = -42 + 0 -36 + 3w = -42 Add '36' to each side of the equation. -36 + 36 + 3w = -42 + 36 Combine like terms: -36 + 36 = 0 0 + 3w = -42 + 36 3w = -42 + 36 Combine like terms: -42 + 36 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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