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Simplifying -5(1 + 7b) + 3 = 103 (1 * -5 + 7b * -5) + 3 = 103 (-5 + -35b) + 3 = 103 Reorder the terms: -5 + 3 + -35b = 103 Combine like terms: -5 + 3 = -2 -2 + -35b = 103 Solving -2 + -35b = 103 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 + -35b = 103 + 2 Combine like terms: -2 + 2 = 0 0 + -35b = 103 + 2 -35b = 103 + 2 Combine like terms: 103 + 2 = 105 -35b = 105 Divide each side by '-35'. b = -3 Simplifying b = -3
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