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Simplifying 8w + -32 = -8(w + -6) Reorder the terms: -32 + 8w = -8(w + -6) Reorder the terms: -32 + 8w = -8(-6 + w) -32 + 8w = (-6 * -8 + w * -8) -32 + 8w = (48 + -8w) Solving -32 + 8w = 48 + -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. -32 + 8w + 8w = 48 + -8w + 8w Combine like terms: 8w + 8w = 16w -32 + 16w = 48 + -8w + 8w Combine like terms: -8w + 8w = 0 -32 + 16w = 48 + 0 -32 + 16w = 48 Add '32' to each side of the equation. -32 + 32 + 16w = 48 + 32 Combine like terms: -32 + 32 = 0 0 + 16w = 48 + 32 16w = 48 + 32 Combine like terms: 48 + 32 = 80 16w = 80 Divide each side by '16'. w = 5 Simplifying w = 5
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