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Simplifying 3(4w + 8) + 4(2 + -3x + -6x) = 26 Reorder the terms: 3(8 + 4w) + 4(2 + -3x + -6x) = 26 (8 * 3 + 4w * 3) + 4(2 + -3x + -6x) = 26 (24 + 12w) + 4(2 + -3x + -6x) = 26 Combine like terms: -3x + -6x = -9x 24 + 12w + 4(2 + -9x) = 26 24 + 12w + (2 * 4 + -9x * 4) = 26 24 + 12w + (8 + -36x) = 26 Reorder the terms: 24 + 8 + 12w + -36x = 26 Combine like terms: 24 + 8 = 32 32 + 12w + -36x = 26 Solving 32 + 12w + -36x = 26 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 12w + -32 + -36x = 26 + -32 Reorder the terms: 32 + -32 + 12w + -36x = 26 + -32 Combine like terms: 32 + -32 = 0 0 + 12w + -36x = 26 + -32 12w + -36x = 26 + -32 Combine like terms: 26 + -32 = -6 12w + -36x = -6 Add '36x' to each side of the equation. 12w + -36x + 36x = -6 + 36x Combine like terms: -36x + 36x = 0 12w + 0 = -6 + 36x 12w = -6 + 36x Divide each side by '12'. w = -0.5 + 3x Simplifying w = -0.5 + 3x
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