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Simplifying 10w + 19 + 3w = 2(6x + -8) + 39 Reorder the terms: 19 + 10w + 3w = 2(6x + -8) + 39 Combine like terms: 10w + 3w = 13w 19 + 13w = 2(6x + -8) + 39 Reorder the terms: 19 + 13w = 2(-8 + 6x) + 39 19 + 13w = (-8 * 2 + 6x * 2) + 39 19 + 13w = (-16 + 12x) + 39 Reorder the terms: 19 + 13w = -16 + 39 + 12x Combine like terms: -16 + 39 = 23 19 + 13w = 23 + 12x Solving 19 + 13w = 23 + 12x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 13w = 23 + -19 + 12x Combine like terms: 19 + -19 = 0 0 + 13w = 23 + -19 + 12x 13w = 23 + -19 + 12x Combine like terms: 23 + -19 = 4 13w = 4 + 12x Divide each side by '13'. w = 0.3076923077 + 0.9230769231x Simplifying w = 0.3076923077 + 0.9230769231x
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