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Simplifying 4[2w + -7] + -2w = -4 Reorder the terms: 4[-7 + 2w] + -2w = -4 [-7 * 4 + 2w * 4] + -2w = -4 [-28 + 8w] + -2w = -4 Combine like terms: 8w + -2w = 6w -28 + 6w = -4 Solving -28 + 6w = -4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 6w = -4 + 28 Combine like terms: -28 + 28 = 0 0 + 6w = -4 + 28 6w = -4 + 28 Combine like terms: -4 + 28 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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