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Simplifying -4w + -1 = -7(w + -2) Reorder the terms: -1 + -4w = -7(w + -2) Reorder the terms: -1 + -4w = -7(-2 + w) -1 + -4w = (-2 * -7 + w * -7) -1 + -4w = (14 + -7w) Solving -1 + -4w = 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. -1 + -4w + 7w = 14 + -7w + 7w Combine like terms: -4w + 7w = 3w -1 + 3w = 14 + -7w + 7w Combine like terms: -7w + 7w = 0 -1 + 3w = 14 + 0 -1 + 3w = 14 Add '1' to each side of the equation. -1 + 1 + 3w = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 3w = 14 + 1 3w = 14 + 1 Combine like terms: 14 + 1 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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