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Simplifying 2(w + -7) + -7 = -6(-2w + 3) + -4w Reorder the terms: 2(-7 + w) + -7 = -6(-2w + 3) + -4w (-7 * 2 + w * 2) + -7 = -6(-2w + 3) + -4w (-14 + 2w) + -7 = -6(-2w + 3) + -4w Reorder the terms: -14 + -7 + 2w = -6(-2w + 3) + -4w Combine like terms: -14 + -7 = -21 -21 + 2w = -6(-2w + 3) + -4w Reorder the terms: -21 + 2w = -6(3 + -2w) + -4w -21 + 2w = (3 * -6 + -2w * -6) + -4w -21 + 2w = (-18 + 12w) + -4w Combine like terms: 12w + -4w = 8w -21 + 2w = -18 + 8w Solving -21 + 2w = -18 + 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. -21 + 2w + -8w = -18 + 8w + -8w Combine like terms: 2w + -8w = -6w -21 + -6w = -18 + 8w + -8w Combine like terms: 8w + -8w = 0 -21 + -6w = -18 + 0 -21 + -6w = -18 Add '21' to each side of the equation. -21 + 21 + -6w = -18 + 21 Combine like terms: -21 + 21 = 0 0 + -6w = -18 + 21 -6w = -18 + 21 Combine like terms: -18 + 21 = 3 -6w = 3 Divide each side by '-6'. w = -0.5 Simplifying w = -0.5
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