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Simplifying 2w + -7(3w + 1) = 6(5 + -3w) Reorder the terms: 2w + -7(1 + 3w) = 6(5 + -3w) 2w + (1 * -7 + 3w * -7) = 6(5 + -3w) 2w + (-7 + -21w) = 6(5 + -3w) Reorder the terms: -7 + 2w + -21w = 6(5 + -3w) Combine like terms: 2w + -21w = -19w -7 + -19w = 6(5 + -3w) -7 + -19w = (5 * 6 + -3w * 6) -7 + -19w = (30 + -18w) Solving -7 + -19w = 30 + -18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18w' to each side of the equation. -7 + -19w + 18w = 30 + -18w + 18w Combine like terms: -19w + 18w = -1w -7 + -1w = 30 + -18w + 18w Combine like terms: -18w + 18w = 0 -7 + -1w = 30 + 0 -7 + -1w = 30 Add '7' to each side of the equation. -7 + 7 + -1w = 30 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = 30 + 7 -1w = 30 + 7 Combine like terms: 30 + 7 = 37 -1w = 37 Divide each side by '-1'. w = -37 Simplifying w = -37
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