Simplifying 2w + 9 + -6w = -19 Reorder the terms: 9 + 2w + -6w = -19 Combine like terms: 2w + -6w = -4w 9 + -4w = -19 Solving 9 + -4w = -19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4w = -19 + -9 Combine like terms: 9 + -9 = 0 0 + -4w = -19 + -9 -4w = -19 + -9 Combine like terms: -19 + -9 = -28 -4w = -28 Divide each side by '-4'. w = 7 Simplifying w = 7