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Simplifying 3x + 5b + 6 = 9x + -7b + -3 Reorder the terms: 6 + 5b + 3x = 9x + -7b + -3 Reorder the terms: 6 + 5b + 3x = -3 + -7b + 9x Solving 6 + 5b + 3x = -3 + -7b + 9x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 6 + 5b + 7b + 3x = -3 + -7b + 7b + 9x Combine like terms: 5b + 7b = 12b 6 + 12b + 3x = -3 + -7b + 7b + 9x Combine like terms: -7b + 7b = 0 6 + 12b + 3x = -3 + 0 + 9x 6 + 12b + 3x = -3 + 9x Add '-6' to each side of the equation. 6 + 12b + -6 + 3x = -3 + -6 + 9x Reorder the terms: 6 + -6 + 12b + 3x = -3 + -6 + 9x Combine like terms: 6 + -6 = 0 0 + 12b + 3x = -3 + -6 + 9x 12b + 3x = -3 + -6 + 9x Combine like terms: -3 + -6 = -9 12b + 3x = -9 + 9x Add '-3x' to each side of the equation. 12b + 3x + -3x = -9 + 9x + -3x Combine like terms: 3x + -3x = 0 12b + 0 = -9 + 9x + -3x 12b = -9 + 9x + -3x Combine like terms: 9x + -3x = 6x 12b = -9 + 6x Divide each side by '12'. b = -0.75 + 0.5x Simplifying b = -0.75 + 0.5x
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