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Simplifying 2 + -3(2w + 1) = 7w + -3(7 + w) Reorder the terms: 2 + -3(1 + 2w) = 7w + -3(7 + w) 2 + (1 * -3 + 2w * -3) = 7w + -3(7 + w) 2 + (-3 + -6w) = 7w + -3(7 + w) Combine like terms: 2 + -3 = -1 -1 + -6w = 7w + -3(7 + w) -1 + -6w = 7w + (7 * -3 + w * -3) -1 + -6w = 7w + (-21 + -3w) Reorder the terms: -1 + -6w = -21 + 7w + -3w Combine like terms: 7w + -3w = 4w -1 + -6w = -21 + 4w Solving -1 + -6w = -21 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -1 + -6w + -4w = -21 + 4w + -4w Combine like terms: -6w + -4w = -10w -1 + -10w = -21 + 4w + -4w Combine like terms: 4w + -4w = 0 -1 + -10w = -21 + 0 -1 + -10w = -21 Add '1' to each side of the equation. -1 + 1 + -10w = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -10w = -21 + 1 -10w = -21 + 1 Combine like terms: -21 + 1 = -20 -10w = -20 Divide each side by '-10'. w = 2 Simplifying w = 2
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