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Simplifying -8(2b + 1) + 8b = 27 + -3b Reorder the terms: -8(1 + 2b) + 8b = 27 + -3b (1 * -8 + 2b * -8) + 8b = 27 + -3b (-8 + -16b) + 8b = 27 + -3b Combine like terms: -16b + 8b = -8b -8 + -8b = 27 + -3b Solving -8 + -8b = 27 + -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. -8 + -8b + 3b = 27 + -3b + 3b Combine like terms: -8b + 3b = -5b -8 + -5b = 27 + -3b + 3b Combine like terms: -3b + 3b = 0 -8 + -5b = 27 + 0 -8 + -5b = 27 Add '8' to each side of the equation. -8 + 8 + -5b = 27 + 8 Combine like terms: -8 + 8 = 0 0 + -5b = 27 + 8 -5b = 27 + 8 Combine like terms: 27 + 8 = 35 -5b = 35 Divide each side by '-5'. b = -7 Simplifying b = -7
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