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Simplifying -3(8b + -2) = -2(16b + 1) Reorder the terms: -3(-2 + 8b) = -2(16b + 1) (-2 * -3 + 8b * -3) = -2(16b + 1) (6 + -24b) = -2(16b + 1) Reorder the terms: 6 + -24b = -2(1 + 16b) 6 + -24b = (1 * -2 + 16b * -2) 6 + -24b = (-2 + -32b) Solving 6 + -24b = -2 + -32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32b' to each side of the equation. 6 + -24b + 32b = -2 + -32b + 32b Combine like terms: -24b + 32b = 8b 6 + 8b = -2 + -32b + 32b Combine like terms: -32b + 32b = 0 6 + 8b = -2 + 0 6 + 8b = -2 Add '-6' to each side of the equation. 6 + -6 + 8b = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 8b = -2 + -6 8b = -2 + -6 Combine like terms: -2 + -6 = -8 8b = -8 Divide each side by '8'. b = -1 Simplifying b = -1
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