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Simplifying 3(w + -1) + -4 = -7(-2w + 3) + -3w Reorder the terms: 3(-1 + w) + -4 = -7(-2w + 3) + -3w (-1 * 3 + w * 3) + -4 = -7(-2w + 3) + -3w (-3 + 3w) + -4 = -7(-2w + 3) + -3w Reorder the terms: -3 + -4 + 3w = -7(-2w + 3) + -3w Combine like terms: -3 + -4 = -7 -7 + 3w = -7(-2w + 3) + -3w Reorder the terms: -7 + 3w = -7(3 + -2w) + -3w -7 + 3w = (3 * -7 + -2w * -7) + -3w -7 + 3w = (-21 + 14w) + -3w Combine like terms: 14w + -3w = 11w -7 + 3w = -21 + 11w Solving -7 + 3w = -21 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -7 + 3w + -11w = -21 + 11w + -11w Combine like terms: 3w + -11w = -8w -7 + -8w = -21 + 11w + -11w Combine like terms: 11w + -11w = 0 -7 + -8w = -21 + 0 -7 + -8w = -21 Add '7' to each side of the equation. -7 + 7 + -8w = -21 + 7 Combine like terms: -7 + 7 = 0 0 + -8w = -21 + 7 -8w = -21 + 7 Combine like terms: -21 + 7 = -14 -8w = -14 Divide each side by '-8'. w = 1.75 Simplifying w = 1.75
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