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Simplifying 5w + 34 = -2(1 + -7) Reorder the terms: 34 + 5w = -2(1 + -7) Combine like terms: 1 + -7 = -6 34 + 5w = -2(-6) Multiply -2 * -6 34 + 5w = 12 Solving 34 + 5w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 5w = 12 + -34 Combine like terms: 34 + -34 = 0 0 + 5w = 12 + -34 5w = 12 + -34 Combine like terms: 12 + -34 = -22 5w = -22 Divide each side by '5'. w = -4.4 Simplifying w = -4.4
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