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Simplifying 7w + -16 = 3(w + -4) Reorder the terms: -16 + 7w = 3(w + -4) Reorder the terms: -16 + 7w = 3(-4 + w) -16 + 7w = (-4 * 3 + w * 3) -16 + 7w = (-12 + 3w) Solving -16 + 7w = -12 + 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. -16 + 7w + -3w = -12 + 3w + -3w Combine like terms: 7w + -3w = 4w -16 + 4w = -12 + 3w + -3w Combine like terms: 3w + -3w = 0 -16 + 4w = -12 + 0 -16 + 4w = -12 Add '16' to each side of the equation. -16 + 16 + 4w = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 4w = -12 + 16 4w = -12 + 16 Combine like terms: -12 + 16 = 4 4w = 4 Divide each side by '4'. w = 1 Simplifying w = 1
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