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Simplifying -7(w + 2) = 3w + -38 Reorder the terms: -7(2 + w) = 3w + -38 (2 * -7 + w * -7) = 3w + -38 (-14 + -7w) = 3w + -38 Reorder the terms: -14 + -7w = -38 + 3w Solving -14 + -7w = -38 + 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. -14 + -7w + -3w = -38 + 3w + -3w Combine like terms: -7w + -3w = -10w -14 + -10w = -38 + 3w + -3w Combine like terms: 3w + -3w = 0 -14 + -10w = -38 + 0 -14 + -10w = -38 Add '14' to each side of the equation. -14 + 14 + -10w = -38 + 14 Combine like terms: -14 + 14 = 0 0 + -10w = -38 + 14 -10w = -38 + 14 Combine like terms: -38 + 14 = -24 -10w = -24 Divide each side by '-10'. w = 2.4 Simplifying w = 2.4
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