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Simplifying 3w + 42 = 16w + 24 Reorder the terms: 42 + 3w = 16w + 24 Reorder the terms: 42 + 3w = 24 + 16w Solving 42 + 3w = 24 + 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. 42 + 3w + -16w = 24 + 16w + -16w Combine like terms: 3w + -16w = -13w 42 + -13w = 24 + 16w + -16w Combine like terms: 16w + -16w = 0 42 + -13w = 24 + 0 42 + -13w = 24 Add '-42' to each side of the equation. 42 + -42 + -13w = 24 + -42 Combine like terms: 42 + -42 = 0 0 + -13w = 24 + -42 -13w = 24 + -42 Combine like terms: 24 + -42 = -18 -13w = -18 Divide each side by '-13'. w = 1.384615385 Simplifying w = 1.384615385
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