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Simplifying -1 + -5(-7w + 1) = 3(8w + -3) + 6 Reorder the terms: -1 + -5(1 + -7w) = 3(8w + -3) + 6 -1 + (1 * -5 + -7w * -5) = 3(8w + -3) + 6 -1 + (-5 + 35w) = 3(8w + -3) + 6 Combine like terms: -1 + -5 = -6 -6 + 35w = 3(8w + -3) + 6 Reorder the terms: -6 + 35w = 3(-3 + 8w) + 6 -6 + 35w = (-3 * 3 + 8w * 3) + 6 -6 + 35w = (-9 + 24w) + 6 Reorder the terms: -6 + 35w = -9 + 6 + 24w Combine like terms: -9 + 6 = -3 -6 + 35w = -3 + 24w Solving -6 + 35w = -3 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. -6 + 35w + -24w = -3 + 24w + -24w Combine like terms: 35w + -24w = 11w -6 + 11w = -3 + 24w + -24w Combine like terms: 24w + -24w = 0 -6 + 11w = -3 + 0 -6 + 11w = -3 Add '6' to each side of the equation. -6 + 6 + 11w = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 11w = -3 + 6 11w = -3 + 6 Combine like terms: -3 + 6 = 3 11w = 3 Divide each side by '11'. w = 0.2727272727 Simplifying w = 0.2727272727
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