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Simplifying 7w + -37 = -4(w + 1) Reorder the terms: -37 + 7w = -4(w + 1) Reorder the terms: -37 + 7w = -4(1 + w) -37 + 7w = (1 * -4 + w * -4) -37 + 7w = (-4 + -4w) Solving -37 + 7w = -4 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -37 + 7w + 4w = -4 + -4w + 4w Combine like terms: 7w + 4w = 11w -37 + 11w = -4 + -4w + 4w Combine like terms: -4w + 4w = 0 -37 + 11w = -4 + 0 -37 + 11w = -4 Add '37' to each side of the equation. -37 + 37 + 11w = -4 + 37 Combine like terms: -37 + 37 = 0 0 + 11w = -4 + 37 11w = -4 + 37 Combine like terms: -4 + 37 = 33 11w = 33 Divide each side by '11'. w = 3 Simplifying w = 3
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