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Simplifying 4 + 2(3w + -4) = -7(2w + -2) + 4w Reorder the terms: 4 + 2(-4 + 3w) = -7(2w + -2) + 4w 4 + (-4 * 2 + 3w * 2) = -7(2w + -2) + 4w 4 + (-8 + 6w) = -7(2w + -2) + 4w Combine like terms: 4 + -8 = -4 -4 + 6w = -7(2w + -2) + 4w Reorder the terms: -4 + 6w = -7(-2 + 2w) + 4w -4 + 6w = (-2 * -7 + 2w * -7) + 4w -4 + 6w = (14 + -14w) + 4w Combine like terms: -14w + 4w = -10w -4 + 6w = 14 + -10w Solving -4 + 6w = 14 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. -4 + 6w + 10w = 14 + -10w + 10w Combine like terms: 6w + 10w = 16w -4 + 16w = 14 + -10w + 10w Combine like terms: -10w + 10w = 0 -4 + 16w = 14 + 0 -4 + 16w = 14 Add '4' to each side of the equation. -4 + 4 + 16w = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 16w = 14 + 4 16w = 14 + 4 Combine like terms: 14 + 4 = 18 16w = 18 Divide each side by '16'. w = 1.125 Simplifying w = 1.125
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