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Simplifying 5(-4) + -5(7) = 7(5w) Multiply 5 * -4 -20 + -5(7) = 7(5w) Multiply -5 * 7 -20 + -35 = 7(5w) Combine like terms: -20 + -35 = -55 -55 = 7(5w) Remove parenthesis around (5w) -55 = 7 * 5w Multiply 7 * 5 -55 = 35w Solving -55 = 35w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35w' to each side of the equation. -55 + -35w = 35w + -35w Combine like terms: 35w + -35w = 0 -55 + -35w = 0 Add '55' to each side of the equation. -55 + 55 + -35w = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -35w = 0 + 55 -35w = 0 + 55 Combine like terms: 0 + 55 = 55 -35w = 55 Divide each side by '-35'. w = -1.571428571 Simplifying w = -1.571428571
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