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Simplifying 3(7x + -4b + 10) = 0 Reorder the terms: 3(10 + -4b + 7x) = 0 (10 * 3 + -4b * 3 + 7x * 3) = 0 (30 + -12b + 21x) = 0 Solving 30 + -12b + 21x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -12b + -30 + 21x = 0 + -30 Reorder the terms: 30 + -30 + -12b + 21x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -12b + 21x = 0 + -30 -12b + 21x = 0 + -30 Combine like terms: 0 + -30 = -30 -12b + 21x = -30 Add '-21x' to each side of the equation. -12b + 21x + -21x = -30 + -21x Combine like terms: 21x + -21x = 0 -12b + 0 = -30 + -21x -12b = -30 + -21x Divide each side by '-12'. b = 2.5 + 1.75x Simplifying b = 2.5 + 1.75x
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