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Simplifying 4(2w + 3) + -14w = 8(2w + 7) Reorder the terms: 4(3 + 2w) + -14w = 8(2w + 7) (3 * 4 + 2w * 4) + -14w = 8(2w + 7) (12 + 8w) + -14w = 8(2w + 7) Combine like terms: 8w + -14w = -6w 12 + -6w = 8(2w + 7) Reorder the terms: 12 + -6w = 8(7 + 2w) 12 + -6w = (7 * 8 + 2w * 8) 12 + -6w = (56 + 16w) Solving 12 + -6w = 56 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. 12 + -6w + -16w = 56 + 16w + -16w Combine like terms: -6w + -16w = -22w 12 + -22w = 56 + 16w + -16w Combine like terms: 16w + -16w = 0 12 + -22w = 56 + 0 12 + -22w = 56 Add '-12' to each side of the equation. 12 + -12 + -22w = 56 + -12 Combine like terms: 12 + -12 = 0 0 + -22w = 56 + -12 -22w = 56 + -12 Combine like terms: 56 + -12 = 44 -22w = 44 Divide each side by '-22'. w = -2 Simplifying w = -2
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