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Simplifying -3w + -18 = -7(w + -2) Reorder the terms: -18 + -3w = -7(w + -2) Reorder the terms: -18 + -3w = -7(-2 + w) -18 + -3w = (-2 * -7 + w * -7) -18 + -3w = (14 + -7w) Solving -18 + -3w = 14 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -18 + -3w + 7w = 14 + -7w + 7w Combine like terms: -3w + 7w = 4w -18 + 4w = 14 + -7w + 7w Combine like terms: -7w + 7w = 0 -18 + 4w = 14 + 0 -18 + 4w = 14 Add '18' to each side of the equation. -18 + 18 + 4w = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 4w = 14 + 18 4w = 14 + 18 Combine like terms: 14 + 18 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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