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Simplifying 10w + 19 + 3x = 6(9 + w) + -14 Reorder the terms: 19 + 10w + 3x = 6(9 + w) + -14 19 + 10w + 3x = (9 * 6 + w * 6) + -14 19 + 10w + 3x = (54 + 6w) + -14 Reorder the terms: 19 + 10w + 3x = 54 + -14 + 6w Combine like terms: 54 + -14 = 40 19 + 10w + 3x = 40 + 6w Solving 19 + 10w + 3x = 40 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 19 + 10w + -6w + 3x = 40 + 6w + -6w Combine like terms: 10w + -6w = 4w 19 + 4w + 3x = 40 + 6w + -6w Combine like terms: 6w + -6w = 0 19 + 4w + 3x = 40 + 0 19 + 4w + 3x = 40 Add '-19' to each side of the equation. 19 + 4w + -19 + 3x = 40 + -19 Reorder the terms: 19 + -19 + 4w + 3x = 40 + -19 Combine like terms: 19 + -19 = 0 0 + 4w + 3x = 40 + -19 4w + 3x = 40 + -19 Combine like terms: 40 + -19 = 21 4w + 3x = 21 Add '-3x' to each side of the equation. 4w + 3x + -3x = 21 + -3x Combine like terms: 3x + -3x = 0 4w + 0 = 21 + -3x 4w = 21 + -3x Divide each side by '4'. w = 5.25 + -0.75x Simplifying w = 5.25 + -0.75x
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