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Simplifying -16 = -3w + 7(w + -4) Reorder the terms: -16 = -3w + 7(-4 + w) -16 = -3w + (-4 * 7 + w * 7) -16 = -3w + (-28 + 7w) Reorder the terms: -16 = -28 + -3w + 7w Combine like terms: -3w + 7w = 4w -16 = -28 + 4w Solving -16 = -28 + 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. -16 + -4w = -28 + 4w + -4w Combine like terms: 4w + -4w = 0 -16 + -4w = -28 + 0 -16 + -4w = -28 Add '16' to each side of the equation. -16 + 16 + -4w = -28 + 16 Combine like terms: -16 + 16 = 0 0 + -4w = -28 + 16 -4w = -28 + 16 Combine like terms: -28 + 16 = -12 -4w = -12 Divide each side by '-4'. w = 3 Simplifying w = 3
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