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Simplifying 3[w + -1(10 + -1w)] = 7(w + 1) 3[w + (10 * -1 + -1w * -1)] = 7(w + 1) 3[w + (-10 + 1w)] = 7(w + 1) Reorder the terms: 3[-10 + w + 1w] = 7(w + 1) Combine like terms: w + 1w = 2w 3[-10 + 2w] = 7(w + 1) [-10 * 3 + 2w * 3] = 7(w + 1) [-30 + 6w] = 7(w + 1) Reorder the terms: -30 + 6w = 7(1 + w) -30 + 6w = (1 * 7 + w * 7) -30 + 6w = (7 + 7w) Solving -30 + 6w = 7 + 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. -30 + 6w + -7w = 7 + 7w + -7w Combine like terms: 6w + -7w = -1w -30 + -1w = 7 + 7w + -7w Combine like terms: 7w + -7w = 0 -30 + -1w = 7 + 0 -30 + -1w = 7 Add '30' to each side of the equation. -30 + 30 + -1w = 7 + 30 Combine like terms: -30 + 30 = 0 0 + -1w = 7 + 30 -1w = 7 + 30 Combine like terms: 7 + 30 = 37 -1w = 37 Divide each side by '-1'. w = -37 Simplifying w = -37
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