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Simplifying 10x + 12b + 10 + -5b + -3x + 6 = 0 Reorder the terms: 10 + 6 + 12b + -5b + 10x + -3x = 0 Combine like terms: 10 + 6 = 16 16 + 12b + -5b + 10x + -3x = 0 Combine like terms: 12b + -5b = 7b 16 + 7b + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x 16 + 7b + 7x = 0 Solving 16 + 7b + 7x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 7b + -16 + 7x = 0 + -16 Reorder the terms: 16 + -16 + 7b + 7x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 7b + 7x = 0 + -16 7b + 7x = 0 + -16 Combine like terms: 0 + -16 = -16 7b + 7x = -16 Add '-7x' to each side of the equation. 7b + 7x + -7x = -16 + -7x Combine like terms: 7x + -7x = 0 7b + 0 = -16 + -7x 7b = -16 + -7x Divide each side by '7'. b = -2.285714286 + -1x Simplifying b = -2.285714286 + -1x
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