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Simplifying 13 + -12w = 7 + -16w Solving 13 + -12w = 7 + -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. 13 + -12w + 16w = 7 + -16w + 16w Combine like terms: -12w + 16w = 4w 13 + 4w = 7 + -16w + 16w Combine like terms: -16w + 16w = 0 13 + 4w = 7 + 0 13 + 4w = 7 Add '-13' to each side of the equation. 13 + -13 + 4w = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 4w = 7 + -13 4w = 7 + -13 Combine like terms: 7 + -13 = -6 4w = -6 Divide each side by '4'. w = -1.5 Simplifying w = -1.5
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