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Simplifying -6(w + -7) = 5W + 31 Reorder the terms: -6(-7 + w) = 5W + 31 (-7 * -6 + w * -6) = 5W + 31 (42 + -6w) = 5W + 31 Reorder the terms: 42 + -6w = 31 + 5W Solving 42 + -6w = 31 + 5W Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -6w = 31 + -42 + 5W Combine like terms: 42 + -42 = 0 0 + -6w = 31 + -42 + 5W -6w = 31 + -42 + 5W Combine like terms: 31 + -42 = -11 -6w = -11 + 5W Divide each side by '-6'. w = 1.833333333 + -0.8333333333W Simplifying w = 1.833333333 + -0.8333333333W
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