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Simplifying 2(3w + -4) + -5 = 17 Reorder the terms: 2(-4 + 3w) + -5 = 17 (-4 * 2 + 3w * 2) + -5 = 17 (-8 + 6w) + -5 = 17 Reorder the terms: -8 + -5 + 6w = 17 Combine like terms: -8 + -5 = -13 -13 + 6w = 17 Solving -13 + 6w = 17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6w = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 6w = 17 + 13 6w = 17 + 13 Combine like terms: 17 + 13 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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