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Simplifying 3[w + -2] + 5 = 2[3w + -5] Reorder the terms: 3[-2 + w] + 5 = 2[3w + -5] [-2 * 3 + w * 3] + 5 = 2[3w + -5] [-6 + 3w] + 5 = 2[3w + -5] Reorder the terms: -6 + 5 + 3w = 2[3w + -5] Combine like terms: -6 + 5 = -1 -1 + 3w = 2[3w + -5] Reorder the terms: -1 + 3w = 2[-5 + 3w] -1 + 3w = [-5 * 2 + 3w * 2] -1 + 3w = [-10 + 6w] Solving -1 + 3w = -10 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -1 + 3w + -6w = -10 + 6w + -6w Combine like terms: 3w + -6w = -3w -1 + -3w = -10 + 6w + -6w Combine like terms: 6w + -6w = 0 -1 + -3w = -10 + 0 -1 + -3w = -10 Add '1' to each side of the equation. -1 + 1 + -3w = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -3w = -10 + 1 -3w = -10 + 1 Combine like terms: -10 + 1 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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