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Simplifying 7(-18w + -15) = 16w + 18 + 19 Reorder the terms: 7(-15 + -18w) = 16w + 18 + 19 (-15 * 7 + -18w * 7) = 16w + 18 + 19 (-105 + -126w) = 16w + 18 + 19 Reorder the terms: -105 + -126w = 18 + 19 + 16w Combine like terms: 18 + 19 = 37 -105 + -126w = 37 + 16w Solving -105 + -126w = 37 + 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. -105 + -126w + -16w = 37 + 16w + -16w Combine like terms: -126w + -16w = -142w -105 + -142w = 37 + 16w + -16w Combine like terms: 16w + -16w = 0 -105 + -142w = 37 + 0 -105 + -142w = 37 Add '105' to each side of the equation. -105 + 105 + -142w = 37 + 105 Combine like terms: -105 + 105 = 0 0 + -142w = 37 + 105 -142w = 37 + 105 Combine like terms: 37 + 105 = 142 -142w = 142 Divide each side by '-142'. w = -1 Simplifying w = -1
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