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Simplifying 3 + -4(4b + -1) = 10b + 6 Reorder the terms: 3 + -4(-1 + 4b) = 10b + 6 3 + (-1 * -4 + 4b * -4) = 10b + 6 3 + (4 + -16b) = 10b + 6 Combine like terms: 3 + 4 = 7 7 + -16b = 10b + 6 Reorder the terms: 7 + -16b = 6 + 10b Solving 7 + -16b = 6 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 7 + -16b + -10b = 6 + 10b + -10b Combine like terms: -16b + -10b = -26b 7 + -26b = 6 + 10b + -10b Combine like terms: 10b + -10b = 0 7 + -26b = 6 + 0 7 + -26b = 6 Add '-7' to each side of the equation. 7 + -7 + -26b = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -26b = 6 + -7 -26b = 6 + -7 Combine like terms: 6 + -7 = -1 -26b = -1 Divide each side by '-26'. b = 0.03846153846 Simplifying b = 0.03846153846
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