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Simplifying -103 = -7(b + 6) + -5 Reorder the terms: -103 = -7(6 + b) + -5 -103 = (6 * -7 + b * -7) + -5 -103 = (-42 + -7b) + -5 Reorder the terms: -103 = -42 + -5 + -7b Combine like terms: -42 + -5 = -47 -103 = -47 + -7b Solving -103 = -47 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -103 + 7b = -47 + -7b + 7b Combine like terms: -7b + 7b = 0 -103 + 7b = -47 + 0 -103 + 7b = -47 Add '103' to each side of the equation. -103 + 103 + 7b = -47 + 103 Combine like terms: -103 + 103 = 0 0 + 7b = -47 + 103 7b = -47 + 103 Combine like terms: -47 + 103 = 56 7b = 56 Divide each side by '7'. b = 8 Simplifying b = 8
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