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Simplifying 4(3w + -2) = 8(8w + 3) Reorder the terms: 4(-2 + 3w) = 8(8w + 3) (-2 * 4 + 3w * 4) = 8(8w + 3) (-8 + 12w) = 8(8w + 3) Reorder the terms: -8 + 12w = 8(3 + 8w) -8 + 12w = (3 * 8 + 8w * 8) -8 + 12w = (24 + 64w) Solving -8 + 12w = 24 + 64w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-64w' to each side of the equation. -8 + 12w + -64w = 24 + 64w + -64w Combine like terms: 12w + -64w = -52w -8 + -52w = 24 + 64w + -64w Combine like terms: 64w + -64w = 0 -8 + -52w = 24 + 0 -8 + -52w = 24 Add '8' to each side of the equation. -8 + 8 + -52w = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -52w = 24 + 8 -52w = 24 + 8 Combine like terms: 24 + 8 = 32 -52w = 32 Divide each side by '-52'. w = -0.6153846154 Simplifying w = -0.6153846154
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