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Simplifying -6w + 19 = -3w + 1 Reorder the terms: 19 + -6w = -3w + 1 Reorder the terms: 19 + -6w = 1 + -3w Solving 19 + -6w = 1 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 19 + -6w + 3w = 1 + -3w + 3w Combine like terms: -6w + 3w = -3w 19 + -3w = 1 + -3w + 3w Combine like terms: -3w + 3w = 0 19 + -3w = 1 + 0 19 + -3w = 1 Add '-19' to each side of the equation. 19 + -19 + -3w = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -3w = 1 + -19 -3w = 1 + -19 Combine like terms: 1 + -19 = -18 -3w = -18 Divide each side by '-3'. w = 6 Simplifying w = 6
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