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Simplifying 7(b + -1) + -5(2b + 1) = 3 Reorder the terms: 7(-1 + b) + -5(2b + 1) = 3 (-1 * 7 + b * 7) + -5(2b + 1) = 3 (-7 + 7b) + -5(2b + 1) = 3 Reorder the terms: -7 + 7b + -5(1 + 2b) = 3 -7 + 7b + (1 * -5 + 2b * -5) = 3 -7 + 7b + (-5 + -10b) = 3 Reorder the terms: -7 + -5 + 7b + -10b = 3 Combine like terms: -7 + -5 = -12 -12 + 7b + -10b = 3 Combine like terms: 7b + -10b = -3b -12 + -3b = 3 Solving -12 + -3b = 3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -3b = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -3b = 3 + 12 -3b = 3 + 12 Combine like terms: 3 + 12 = 15 -3b = 15 Divide each side by '-3'. b = -5 Simplifying b = -5
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