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Simplifying -3(2b + 1) + 5 = -17 + 7 Reorder the terms: -3(1 + 2b) + 5 = -17 + 7 (1 * -3 + 2b * -3) + 5 = -17 + 7 (-3 + -6b) + 5 = -17 + 7 Reorder the terms: -3 + 5 + -6b = -17 + 7 Combine like terms: -3 + 5 = 2 2 + -6b = -17 + 7 Combine like terms: -17 + 7 = -10 2 + -6b = -10 Solving 2 + -6b = -10 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -6b = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -6b = -10 + -2 -6b = -10 + -2 Combine like terms: -10 + -2 = -12 -6b = -12 Divide each side by '-6'. b = 2 Simplifying b = 2
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