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Simplifying 2(6x + 24w) + 4(2w + 3) = 3(x + 12) + 6w Reorder the terms: 2(24w + 6x) + 4(2w + 3) = 3(x + 12) + 6w (24w * 2 + 6x * 2) + 4(2w + 3) = 3(x + 12) + 6w (48w + 12x) + 4(2w + 3) = 3(x + 12) + 6w Reorder the terms: 48w + 12x + 4(3 + 2w) = 3(x + 12) + 6w 48w + 12x + (3 * 4 + 2w * 4) = 3(x + 12) + 6w 48w + 12x + (12 + 8w) = 3(x + 12) + 6w Reorder the terms: 12 + 48w + 8w + 12x = 3(x + 12) + 6w Combine like terms: 48w + 8w = 56w 12 + 56w + 12x = 3(x + 12) + 6w Reorder the terms: 12 + 56w + 12x = 3(12 + x) + 6w 12 + 56w + 12x = (12 * 3 + x * 3) + 6w 12 + 56w + 12x = (36 + 3x) + 6w Reorder the terms: 12 + 56w + 12x = 36 + 6w + 3x Solving 12 + 56w + 12x = 36 + 6w + 3x 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. 12 + 56w + -6w + 12x = 36 + 6w + -6w + 3x Combine like terms: 56w + -6w = 50w 12 + 50w + 12x = 36 + 6w + -6w + 3x Combine like terms: 6w + -6w = 0 12 + 50w + 12x = 36 + 0 + 3x 12 + 50w + 12x = 36 + 3x Add '-12' to each side of the equation. 12 + 50w + -12 + 12x = 36 + -12 + 3x Reorder the terms: 12 + -12 + 50w + 12x = 36 + -12 + 3x Combine like terms: 12 + -12 = 0 0 + 50w + 12x = 36 + -12 + 3x 50w + 12x = 36 + -12 + 3x Combine like terms: 36 + -12 = 24 50w + 12x = 24 + 3x Add '-12x' to each side of the equation. 50w + 12x + -12x = 24 + 3x + -12x Combine like terms: 12x + -12x = 0 50w + 0 = 24 + 3x + -12x 50w = 24 + 3x + -12x Combine like terms: 3x + -12x = -9x 50w = 24 + -9x Divide each side by '50'. w = 0.48 + -0.18x Simplifying w = 0.48 + -0.18x
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