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Simplifying -5(3w + 1) + -1w = 27 Reorder the terms: -5(1 + 3w) + -1w = 27 (1 * -5 + 3w * -5) + -1w = 27 (-5 + -15w) + -1w = 27 Combine like terms: -15w + -1w = -16w -5 + -16w = 27 Solving -5 + -16w = 27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -16w = 27 + 5 Combine like terms: -5 + 5 = 0 0 + -16w = 27 + 5 -16w = 27 + 5 Combine like terms: 27 + 5 = 32 -16w = 32 Divide each side by '-16'. w = -2 Simplifying w = -2
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