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Simplifying 5 + -1(w + -5) + -2w + -7 = w + 19 Reorder the terms: 5 + -1(-5 + w) + -2w + -7 = w + 19 5 + (-5 * -1 + w * -1) + -2w + -7 = w + 19 5 + (5 + -1w) + -2w + -7 = w + 19 Reorder the terms: 5 + 5 + -7 + -1w + -2w = w + 19 Combine like terms: 5 + 5 = 10 10 + -7 + -1w + -2w = w + 19 Combine like terms: 10 + -7 = 3 3 + -1w + -2w = w + 19 Combine like terms: -1w + -2w = -3w 3 + -3w = w + 19 Reorder the terms: 3 + -3w = 19 + w Solving 3 + -3w = 19 + w 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. 3 + -3w + -1w = 19 + w + -1w Combine like terms: -3w + -1w = -4w 3 + -4w = 19 + w + -1w Combine like terms: w + -1w = 0 3 + -4w = 19 + 0 3 + -4w = 19 Add '-3' to each side of the equation. 3 + -3 + -4w = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -4w = 19 + -3 -4w = 19 + -3 Combine like terms: 19 + -3 = 16 -4w = 16 Divide each side by '-4'. w = -4 Simplifying w = -4
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