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Simplifying -79 = 7w + 3(4w + -1) Reorder the terms: -79 = 7w + 3(-1 + 4w) -79 = 7w + (-1 * 3 + 4w * 3) -79 = 7w + (-3 + 12w) Reorder the terms: -79 = -3 + 7w + 12w Combine like terms: 7w + 12w = 19w -79 = -3 + 19w Solving -79 = -3 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -79 + -19w = -3 + 19w + -19w Combine like terms: 19w + -19w = 0 -79 + -19w = -3 + 0 -79 + -19w = -3 Add '79' to each side of the equation. -79 + 79 + -19w = -3 + 79 Combine like terms: -79 + 79 = 0 0 + -19w = -3 + 79 -19w = -3 + 79 Combine like terms: -3 + 79 = 76 -19w = 76 Divide each side by '-19'. w = -4 Simplifying w = -4
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