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Simplifying 5w + 22 = 7(1[w + 4] * 1) Reorder the terms: 22 + 5w = 7(1[w + 4] * 1) Reorder the terms: 22 + 5w = 7(1[4 + w] * 1) Reorder the terms for easier multiplication: 22 + 5w = 7(1 * 1[4 + w]) Multiply 1 * 1 22 + 5w = 7(1[4 + w]) 22 + 5w = 7([4 * 1 + w * 1]) 22 + 5w = 7([4 + 1w]) 22 + 5w = (4 * 7 + 1w * 7) 22 + 5w = (28 + 7w) Solving 22 + 5w = 28 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 22 + 5w + -7w = 28 + 7w + -7w Combine like terms: 5w + -7w = -2w 22 + -2w = 28 + 7w + -7w Combine like terms: 7w + -7w = 0 22 + -2w = 28 + 0 22 + -2w = 28 Add '-22' to each side of the equation. 22 + -22 + -2w = 28 + -22 Combine like terms: 22 + -22 = 0 0 + -2w = 28 + -22 -2w = 28 + -22 Combine like terms: 28 + -22 = 6 -2w = 6 Divide each side by '-2'. w = -3 Simplifying w = -3
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