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Simplifying w + 51 = 4(6 + -1w) + 5w + -10 Reorder the terms: 51 + w = 4(6 + -1w) + 5w + -10 51 + w = (6 * 4 + -1w * 4) + 5w + -10 51 + w = (24 + -4w) + 5w + -10 Reorder the terms: 51 + w = 24 + -10 + -4w + 5w Combine like terms: 24 + -10 = 14 51 + w = 14 + -4w + 5w Combine like terms: -4w + 5w = 1w 51 + w = 14 + 1w Solving 51 + w = 14 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 51 + w + -1w = 14 + 1w + -1w Combine like terms: w + -1w = 0 51 + 0 = 14 + 1w + -1w 51 = 14 + 1w + -1w Combine like terms: 1w + -1w = 0 51 = 14 + 0 51 = 14 Add '-51' to each side of the equation. 51 + -51 = 14 + -51 Combine like terms: 51 + -51 = 0 0 = 14 + -51 Combine like terms: 14 + -51 = -37 0 = -37 Simplifying 0 = -37 Combine like terms: 0 + 37 = 37 37 = -37 + 37 Combine like terms: -37 + 37 = 0 37 = 0 The solution to this equation could not be determined.
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