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Simplifying (10b + -3) + -3(3b + 3) = -7 Reorder the terms: (-3 + 10b) + -3(3b + 3) = -7 Remove parenthesis around (-3 + 10b) -3 + 10b + -3(3b + 3) = -7 Reorder the terms: -3 + 10b + -3(3 + 3b) = -7 -3 + 10b + (3 * -3 + 3b * -3) = -7 -3 + 10b + (-9 + -9b) = -7 Reorder the terms: -3 + -9 + 10b + -9b = -7 Combine like terms: -3 + -9 = -12 -12 + 10b + -9b = -7 Combine like terms: 10b + -9b = 1b -12 + 1b = -7 Solving -12 + 1b = -7 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 + 1b = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = -7 + 12 1b = -7 + 12 Combine like terms: -7 + 12 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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