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Simplifying -6(w + -4) + -4(2w + 3) = 2(4w + -8) Reorder the terms: -6(-4 + w) + -4(2w + 3) = 2(4w + -8) (-4 * -6 + w * -6) + -4(2w + 3) = 2(4w + -8) (24 + -6w) + -4(2w + 3) = 2(4w + -8) Reorder the terms: 24 + -6w + -4(3 + 2w) = 2(4w + -8) 24 + -6w + (3 * -4 + 2w * -4) = 2(4w + -8) 24 + -6w + (-12 + -8w) = 2(4w + -8) Reorder the terms: 24 + -12 + -6w + -8w = 2(4w + -8) Combine like terms: 24 + -12 = 12 12 + -6w + -8w = 2(4w + -8) Combine like terms: -6w + -8w = -14w 12 + -14w = 2(4w + -8) Reorder the terms: 12 + -14w = 2(-8 + 4w) 12 + -14w = (-8 * 2 + 4w * 2) 12 + -14w = (-16 + 8w) Solving 12 + -14w = -16 + 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. 12 + -14w + -8w = -16 + 8w + -8w Combine like terms: -14w + -8w = -22w 12 + -22w = -16 + 8w + -8w Combine like terms: 8w + -8w = 0 12 + -22w = -16 + 0 12 + -22w = -16 Add '-12' to each side of the equation. 12 + -12 + -22w = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -22w = -16 + -12 -22w = -16 + -12 Combine like terms: -16 + -12 = -28 -22w = -28 Divide each side by '-22'. w = 1.272727273 Simplifying w = 1.272727273
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