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Simplifying 4[4 + -1w] = 3[2 + -1w] [4 * 4 + -1w * 4] = 3[2 + -1w] [16 + -4w] = 3[2 + -1w] 16 + -4w = [2 * 3 + -1w * 3] 16 + -4w = [6 + -3w] Solving 16 + -4w = 6 + -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 + -4w + 3w = 6 + -3w + 3w Combine like terms: -4w + 3w = -1w 16 + -1w = 6 + -3w + 3w Combine like terms: -3w + 3w = 0 16 + -1w = 6 + 0 16 + -1w = 6 Add '-16' to each side of the equation. 16 + -16 + -1w = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -1w = 6 + -16 -1w = 6 + -16 Combine like terms: 6 + -16 = -10 -1w = -10 Divide each side by '-1'. w = 10 Simplifying w = 10
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