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Simplifying -103 = -2(6b + 5) + 3 Reorder the terms: -103 = -2(5 + 6b) + 3 -103 = (5 * -2 + 6b * -2) + 3 -103 = (-10 + -12b) + 3 Reorder the terms: -103 = -10 + 3 + -12b Combine like terms: -10 + 3 = -7 -103 = -7 + -12b Solving -103 = -7 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -103 + 12b = -7 + -12b + 12b Combine like terms: -12b + 12b = 0 -103 + 12b = -7 + 0 -103 + 12b = -7 Add '103' to each side of the equation. -103 + 103 + 12b = -7 + 103 Combine like terms: -103 + 103 = 0 0 + 12b = -7 + 103 12b = -7 + 103 Combine like terms: -7 + 103 = 96 12b = 96 Divide each side by '12'. b = 8 Simplifying b = 8
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