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Simplifying 7w + -3 + -4(3w + 10) = 2 Reorder the terms: 7w + -3 + -4(10 + 3w) = 2 7w + -3 + (10 * -4 + 3w * -4) = 2 7w + -3 + (-40 + -12w) = 2 Reorder the terms: -3 + -40 + 7w + -12w = 2 Combine like terms: -3 + -40 = -43 -43 + 7w + -12w = 2 Combine like terms: 7w + -12w = -5w -43 + -5w = 2 Solving -43 + -5w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -5w = 2 + 43 Combine like terms: -43 + 43 = 0 0 + -5w = 2 + 43 -5w = 2 + 43 Combine like terms: 2 + 43 = 45 -5w = 45 Divide each side by '-5'. w = -9 Simplifying w = -9
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