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Simplifying -103 = 7(b + -1) + 5b Reorder the terms: -103 = 7(-1 + b) + 5b -103 = (-1 * 7 + b * 7) + 5b -103 = (-7 + 7b) + 5b Combine like terms: 7b + 5b = 12b -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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