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Simplifying 4[4 + -1w] = 3[2w + 2] [4 * 4 + -1w * 4] = 3[2w + 2] [16 + -4w] = 3[2w + 2] Reorder the terms: 16 + -4w = 3[2 + 2w] 16 + -4w = [2 * 3 + 2w * 3] 16 + -4w = [6 + 6w] Solving 16 + -4w = 6 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 16 + -4w + -6w = 6 + 6w + -6w Combine like terms: -4w + -6w = -10w 16 + -10w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 16 + -10w = 6 + 0 16 + -10w = 6 Add '-16' to each side of the equation. 16 + -16 + -10w = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -10w = 6 + -16 -10w = 6 + -16 Combine like terms: 6 + -16 = -10 -10w = -10 Divide each side by '-10'. w = 1 Simplifying w = 1
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