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Simplifying 8x + 3b(2) + -3c = 10c + 4x Reorder the terms for easier multiplication: 8x + 3 * 2b + -3c = 10c + 4x Multiply 3 * 2 8x + 6b + -3c = 10c + 4x Reorder the terms: 6b + -3c + 8x = 10c + 4x Solving 6b + -3c + 8x = 10c + 4x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3c' to each side of the equation. 6b + -3c + 3c + 8x = 10c + 3c + 4x Combine like terms: -3c + 3c = 0 6b + 0 + 8x = 10c + 3c + 4x 6b + 8x = 10c + 3c + 4x Combine like terms: 10c + 3c = 13c 6b + 8x = 13c + 4x Add '-8x' to each side of the equation. 6b + 8x + -8x = 13c + 4x + -8x Combine like terms: 8x + -8x = 0 6b + 0 = 13c + 4x + -8x 6b = 13c + 4x + -8x Combine like terms: 4x + -8x = -4x 6b = 13c + -4x Divide each side by '6'. b = 2.166666667c + -0.6666666667x Simplifying b = 2.166666667c + -0.6666666667x
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