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Simplifying -3(w + 2) + -4(w + 4) = 0 Reorder the terms: -3(2 + w) + -4(w + 4) = 0 (2 * -3 + w * -3) + -4(w + 4) = 0 (-6 + -3w) + -4(w + 4) = 0 Reorder the terms: -6 + -3w + -4(4 + w) = 0 -6 + -3w + (4 * -4 + w * -4) = 0 -6 + -3w + (-16 + -4w) = 0 Reorder the terms: -6 + -16 + -3w + -4w = 0 Combine like terms: -6 + -16 = -22 -22 + -3w + -4w = 0 Combine like terms: -3w + -4w = -7w -22 + -7w = 0 Solving -22 + -7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -7w = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -7w = 0 + 22 -7w = 0 + 22 Combine like terms: 0 + 22 = 22 -7w = 22 Divide each side by '-7'. w = -3.142857143 Simplifying w = -3.142857143
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