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Simplifying 2x + 4x + -16 + -12b = 24x + 8 + -3x + 6b Reorder the terms: -16 + -12b + 2x + 4x = 24x + 8 + -3x + 6b Combine like terms: 2x + 4x = 6x -16 + -12b + 6x = 24x + 8 + -3x + 6b Reorder the terms: -16 + -12b + 6x = 8 + 6b + 24x + -3x Combine like terms: 24x + -3x = 21x -16 + -12b + 6x = 8 + 6b + 21x Solving -16 + -12b + 6x = 8 + 6b + 21x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -16 + -12b + -6b + 6x = 8 + 6b + -6b + 21x Combine like terms: -12b + -6b = -18b -16 + -18b + 6x = 8 + 6b + -6b + 21x Combine like terms: 6b + -6b = 0 -16 + -18b + 6x = 8 + 0 + 21x -16 + -18b + 6x = 8 + 21x Add '16' to each side of the equation. -16 + -18b + 16 + 6x = 8 + 16 + 21x Reorder the terms: -16 + 16 + -18b + 6x = 8 + 16 + 21x Combine like terms: -16 + 16 = 0 0 + -18b + 6x = 8 + 16 + 21x -18b + 6x = 8 + 16 + 21x Combine like terms: 8 + 16 = 24 -18b + 6x = 24 + 21x Add '-6x' to each side of the equation. -18b + 6x + -6x = 24 + 21x + -6x Combine like terms: 6x + -6x = 0 -18b + 0 = 24 + 21x + -6x -18b = 24 + 21x + -6x Combine like terms: 21x + -6x = 15x -18b = 24 + 15x Divide each side by '-18'. b = -1.333333333 + -0.8333333333x Simplifying b = -1.333333333 + -0.8333333333x
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