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Simplifying -7w + -38 = -3(w + -6) Reorder the terms: -38 + -7w = -3(w + -6) Reorder the terms: -38 + -7w = -3(-6 + w) -38 + -7w = (-6 * -3 + w * -3) -38 + -7w = (18 + -3w) Solving -38 + -7w = 18 + -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. -38 + -7w + 3w = 18 + -3w + 3w Combine like terms: -7w + 3w = -4w -38 + -4w = 18 + -3w + 3w Combine like terms: -3w + 3w = 0 -38 + -4w = 18 + 0 -38 + -4w = 18 Add '38' to each side of the equation. -38 + 38 + -4w = 18 + 38 Combine like terms: -38 + 38 = 0 0 + -4w = 18 + 38 -4w = 18 + 38 Combine like terms: 18 + 38 = 56 -4w = 56 Divide each side by '-4'. w = -14 Simplifying w = -14
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