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Simplifying 6(w + -2) + -4 = -2(-8w + 7) + -4w Reorder the terms: 6(-2 + w) + -4 = -2(-8w + 7) + -4w (-2 * 6 + w * 6) + -4 = -2(-8w + 7) + -4w (-12 + 6w) + -4 = -2(-8w + 7) + -4w Reorder the terms: -12 + -4 + 6w = -2(-8w + 7) + -4w Combine like terms: -12 + -4 = -16 -16 + 6w = -2(-8w + 7) + -4w Reorder the terms: -16 + 6w = -2(7 + -8w) + -4w -16 + 6w = (7 * -2 + -8w * -2) + -4w -16 + 6w = (-14 + 16w) + -4w Combine like terms: 16w + -4w = 12w -16 + 6w = -14 + 12w Solving -16 + 6w = -14 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -16 + 6w + -12w = -14 + 12w + -12w Combine like terms: 6w + -12w = -6w -16 + -6w = -14 + 12w + -12w Combine like terms: 12w + -12w = 0 -16 + -6w = -14 + 0 -16 + -6w = -14 Add '16' to each side of the equation. -16 + 16 + -6w = -14 + 16 Combine like terms: -16 + 16 = 0 0 + -6w = -14 + 16 -6w = -14 + 16 Combine like terms: -14 + 16 = 2 -6w = 2 Divide each side by '-6'. w = -0.3333333333 Simplifying w = -0.3333333333
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