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Simplifying 10 + 2(w + 1) = 7a + -3 Reorder the terms: 10 + 2(1 + w) = 7a + -3 10 + (1 * 2 + w * 2) = 7a + -3 10 + (2 + 2w) = 7a + -3 Combine like terms: 10 + 2 = 12 12 + 2w = 7a + -3 Reorder the terms: 12 + 2w = -3 + 7a Solving 12 + 2w = -3 + 7a Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2w = -3 + -12 + 7a Combine like terms: 12 + -12 = 0 0 + 2w = -3 + -12 + 7a 2w = -3 + -12 + 7a Combine like terms: -3 + -12 = -15 2w = -15 + 7a Divide each side by '2'. w = -7.5 + 3.5a Simplifying w = -7.5 + 3.5a
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