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Simplifying 3w + 5(6 + 2w) = -1(-20 + -16) 3w + (6 * 5 + 2w * 5) = -1(-20 + -16) 3w + (30 + 10w) = -1(-20 + -16) Reorder the terms: 30 + 3w + 10w = -1(-20 + -16) Combine like terms: 3w + 10w = 13w 30 + 13w = -1(-20 + -16) Combine like terms: -20 + -16 = -36 30 + 13w = -1(-36) Multiply -1 * -36 30 + 13w = 36 Solving 30 + 13w = 36 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 13w = 36 + -30 Combine like terms: 30 + -30 = 0 0 + 13w = 36 + -30 13w = 36 + -30 Combine like terms: 36 + -30 = 6 13w = 6 Divide each side by '13'. w = 0.4615384615 Simplifying w = 0.4615384615
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