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Simplifying -8 + -10(4 + -3w) = 3 + 2(9 + -4w) -8 + (4 * -10 + -3w * -10) = 3 + 2(9 + -4w) -8 + (-40 + 30w) = 3 + 2(9 + -4w) Combine like terms: -8 + -40 = -48 -48 + 30w = 3 + 2(9 + -4w) -48 + 30w = 3 + (9 * 2 + -4w * 2) -48 + 30w = 3 + (18 + -8w) Combine like terms: 3 + 18 = 21 -48 + 30w = 21 + -8w Solving -48 + 30w = 21 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -48 + 30w + 8w = 21 + -8w + 8w Combine like terms: 30w + 8w = 38w -48 + 38w = 21 + -8w + 8w Combine like terms: -8w + 8w = 0 -48 + 38w = 21 + 0 -48 + 38w = 21 Add '48' to each side of the equation. -48 + 48 + 38w = 21 + 48 Combine like terms: -48 + 48 = 0 0 + 38w = 21 + 48 38w = 21 + 48 Combine like terms: 21 + 48 = 69 38w = 69 Divide each side by '38'. w = 1.815789474 Simplifying w = 1.815789474
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