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Simplifying 6(w + -2) + -4 = -2(-8w + 9) + -2w Reorder the terms: 6(-2 + w) + -4 = -2(-8w + 9) + -2w (-2 * 6 + w * 6) + -4 = -2(-8w + 9) + -2w (-12 + 6w) + -4 = -2(-8w + 9) + -2w Reorder the terms: -12 + -4 + 6w = -2(-8w + 9) + -2w Combine like terms: -12 + -4 = -16 -16 + 6w = -2(-8w + 9) + -2w Reorder the terms: -16 + 6w = -2(9 + -8w) + -2w -16 + 6w = (9 * -2 + -8w * -2) + -2w -16 + 6w = (-18 + 16w) + -2w Combine like terms: 16w + -2w = 14w -16 + 6w = -18 + 14w Solving -16 + 6w = -18 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -16 + 6w + -14w = -18 + 14w + -14w Combine like terms: 6w + -14w = -8w -16 + -8w = -18 + 14w + -14w Combine like terms: 14w + -14w = 0 -16 + -8w = -18 + 0 -16 + -8w = -18 Add '16' to each side of the equation. -16 + 16 + -8w = -18 + 16 Combine like terms: -16 + 16 = 0 0 + -8w = -18 + 16 -8w = -18 + 16 Combine like terms: -18 + 16 = -2 -8w = -2 Divide each side by '-8'. w = 0.25 Simplifying w = 0.25
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