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Simplifying -7(w + -2) = 5(3 + -3) Reorder the terms: -7(-2 + w) = 5(3 + -3) (-2 * -7 + w * -7) = 5(3 + -3) (14 + -7w) = 5(3 + -3) Combine like terms: 3 + -3 = 0 14 + -7w = 5(0) Multiply 5 * 0 14 + -7w = 0 Anything times zero is zero. 14 + -7w = 0 Solving 14 + -7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -7w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7w = 0 + -14 -7w = 0 + -14 Combine like terms: 0 + -14 = -14 -7w = -14 Divide each side by '-7'. w = 2 Simplifying w = 2
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