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Simplifying 2(3w + -4) + -5 = 7 Reorder the terms: 2(-4 + 3w) + -5 = 7 (-4 * 2 + 3w * 2) + -5 = 7 (-8 + 6w) + -5 = 7 Reorder the terms: -8 + -5 + 6w = 7 Combine like terms: -8 + -5 = -13 -13 + 6w = 7 Solving -13 + 6w = 7 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 = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 6w = 7 + 13 6w = 7 + 13 Combine like terms: 7 + 13 = 20 6w = 20 Divide each side by '6'. w = 3.333333333 Simplifying w = 3.333333333
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