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Simplifying 7(3w + -4) + -15w = 0 Reorder the terms: 7(-4 + 3w) + -15w = 0 (-4 * 7 + 3w * 7) + -15w = 0 (-28 + 21w) + -15w = 0 Combine like terms: 21w + -15w = 6w -28 + 6w = 0 Solving -28 + 6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 6w = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 6w = 0 + 28 6w = 0 + 28 Combine like terms: 0 + 28 = 28 6w = 28 Divide each side by '6'. w = 4.666666667 Simplifying w = 4.666666667
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