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Simplifying 8(w + -1) = 16(w + 1) Reorder the terms: 8(-1 + w) = 16(w + 1) (-1 * 8 + w * 8) = 16(w + 1) (-8 + 8w) = 16(w + 1) Reorder the terms: -8 + 8w = 16(1 + w) -8 + 8w = (1 * 16 + w * 16) -8 + 8w = (16 + 16w) Solving -8 + 8w = 16 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -8 + 8w + -16w = 16 + 16w + -16w Combine like terms: 8w + -16w = -8w -8 + -8w = 16 + 16w + -16w Combine like terms: 16w + -16w = 0 -8 + -8w = 16 + 0 -8 + -8w = 16 Add '8' to each side of the equation. -8 + 8 + -8w = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -8w = 16 + 8 -8w = 16 + 8 Combine like terms: 16 + 8 = 24 -8w = 24 Divide each side by '-8'. w = -3 Simplifying w = -3
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