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Simplifying 8b + -6(2b + 1) = 3b + -1 Reorder the terms: 8b + -6(1 + 2b) = 3b + -1 8b + (1 * -6 + 2b * -6) = 3b + -1 8b + (-6 + -12b) = 3b + -1 Reorder the terms: -6 + 8b + -12b = 3b + -1 Combine like terms: 8b + -12b = -4b -6 + -4b = 3b + -1 Reorder the terms: -6 + -4b = -1 + 3b Solving -6 + -4b = -1 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -6 + -4b + -3b = -1 + 3b + -3b Combine like terms: -4b + -3b = -7b -6 + -7b = -1 + 3b + -3b Combine like terms: 3b + -3b = 0 -6 + -7b = -1 + 0 -6 + -7b = -1 Add '6' to each side of the equation. -6 + 6 + -7b = -1 + 6 Combine like terms: -6 + 6 = 0 0 + -7b = -1 + 6 -7b = -1 + 6 Combine like terms: -1 + 6 = 5 -7b = 5 Divide each side by '-7'. b = -0.7142857143 Simplifying b = -0.7142857143
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