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Simplifying 16(w + 7) = 8(4 + -1w) Reorder the terms: 16(7 + w) = 8(4 + -1w) (7 * 16 + w * 16) = 8(4 + -1w) (112 + 16w) = 8(4 + -1w) 112 + 16w = (4 * 8 + -1w * 8) 112 + 16w = (32 + -8w) Solving 112 + 16w = 32 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 112 + 16w + 8w = 32 + -8w + 8w Combine like terms: 16w + 8w = 24w 112 + 24w = 32 + -8w + 8w Combine like terms: -8w + 8w = 0 112 + 24w = 32 + 0 112 + 24w = 32 Add '-112' to each side of the equation. 112 + -112 + 24w = 32 + -112 Combine like terms: 112 + -112 = 0 0 + 24w = 32 + -112 24w = 32 + -112 Combine like terms: 32 + -112 = -80 24w = -80 Divide each side by '24'. w = -3.333333333 Simplifying w = -3.333333333
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