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Simplifying 4[2(w + -5)] = 3[3(w + 2)] Reorder the terms: 4[2(-5 + w)] = 3[3(w + 2)] 4[(-5 * 2 + w * 2)] = 3[3(w + 2)] 4[(-10 + 2w)] = 3[3(w + 2)] [-10 * 4 + 2w * 4] = 3[3(w + 2)] [-40 + 8w] = 3[3(w + 2)] Reorder the terms: -40 + 8w = 3[3(2 + w)] -40 + 8w = 3[(2 * 3 + w * 3)] -40 + 8w = 3[(6 + 3w)] -40 + 8w = [6 * 3 + 3w * 3] -40 + 8w = [18 + 9w] Solving -40 + 8w = 18 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -40 + 8w + -9w = 18 + 9w + -9w Combine like terms: 8w + -9w = -1w -40 + -1w = 18 + 9w + -9w Combine like terms: 9w + -9w = 0 -40 + -1w = 18 + 0 -40 + -1w = 18 Add '40' to each side of the equation. -40 + 40 + -1w = 18 + 40 Combine like terms: -40 + 40 = 0 0 + -1w = 18 + 40 -1w = 18 + 40 Combine like terms: 18 + 40 = 58 -1w = 58 Divide each side by '-1'. w = -58 Simplifying w = -58
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