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