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Simplifying 6(3w + -7) + -4(7 + -4w) = 0 Reorder the terms: 6(-7 + 3w) + -4(7 + -4w) = 0 (-7 * 6 + 3w * 6) + -4(7 + -4w) = 0 (-42 + 18w) + -4(7 + -4w) = 0 -42 + 18w + (7 * -4 + -4w * -4) = 0 -42 + 18w + (-28 + 16w) = 0 Reorder the terms: -42 + -28 + 18w + 16w = 0 Combine like terms: -42 + -28 = -70 -70 + 18w + 16w = 0 Combine like terms: 18w + 16w = 34w -70 + 34w = 0 Solving -70 + 34w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + 34w = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 34w = 0 + 70 34w = 0 + 70 Combine like terms: 0 + 70 = 70 34w = 70 Divide each side by '34'. w = 2.058823529 Simplifying w = 2.058823529
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