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Simplifying 11 = (3w + 3) * 4 + (5w + -6) * 8 Reorder the terms: 11 = (3 + 3w) * 4 + (5w + -6) * 8 Reorder the terms for easier multiplication: 11 = 4(3 + 3w) + (5w + -6) * 8 11 = (3 * 4 + 3w * 4) + (5w + -6) * 8 11 = (12 + 12w) + (5w + -6) * 8 Reorder the terms: 11 = 12 + 12w + (-6 + 5w) * 8 Reorder the terms for easier multiplication: 11 = 12 + 12w + 8(-6 + 5w) 11 = 12 + 12w + (-6 * 8 + 5w * 8) 11 = 12 + 12w + (-48 + 40w) Reorder the terms: 11 = 12 + -48 + 12w + 40w Combine like terms: 12 + -48 = -36 11 = -36 + 12w + 40w Combine like terms: 12w + 40w = 52w 11 = -36 + 52w Solving 11 = -36 + 52w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-52w' to each side of the equation. 11 + -52w = -36 + 52w + -52w Combine like terms: 52w + -52w = 0 11 + -52w = -36 + 0 11 + -52w = -36 Add '-11' to each side of the equation. 11 + -11 + -52w = -36 + -11 Combine like terms: 11 + -11 = 0 0 + -52w = -36 + -11 -52w = -36 + -11 Combine like terms: -36 + -11 = -47 -52w = -47 Divide each side by '-52'. w = 0.9038461538 Simplifying w = 0.9038461538
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