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Simplifying -6(3w + 5) + 3w + 5 = w + -45 Reorder the terms: -6(5 + 3w) + 3w + 5 = w + -45 (5 * -6 + 3w * -6) + 3w + 5 = w + -45 (-30 + -18w) + 3w + 5 = w + -45 Reorder the terms: -30 + 5 + -18w + 3w = w + -45 Combine like terms: -30 + 5 = -25 -25 + -18w + 3w = w + -45 Combine like terms: -18w + 3w = -15w -25 + -15w = w + -45 Reorder the terms: -25 + -15w = -45 + w Solving -25 + -15w = -45 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -25 + -15w + -1w = -45 + w + -1w Combine like terms: -15w + -1w = -16w -25 + -16w = -45 + w + -1w Combine like terms: w + -1w = 0 -25 + -16w = -45 + 0 -25 + -16w = -45 Add '25' to each side of the equation. -25 + 25 + -16w = -45 + 25 Combine like terms: -25 + 25 = 0 0 + -16w = -45 + 25 -16w = -45 + 25 Combine like terms: -45 + 25 = -20 -16w = -20 Divide each side by '-16'. w = 1.25 Simplifying w = 1.25
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