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Simplifying (10b + -8) + -3(3b + 4) = 7 Reorder the terms: (-8 + 10b) + -3(3b + 4) = 7 Remove parenthesis around (-8 + 10b) -8 + 10b + -3(3b + 4) = 7 Reorder the terms: -8 + 10b + -3(4 + 3b) = 7 -8 + 10b + (4 * -3 + 3b * -3) = 7 -8 + 10b + (-12 + -9b) = 7 Reorder the terms: -8 + -12 + 10b + -9b = 7 Combine like terms: -8 + -12 = -20 -20 + 10b + -9b = 7 Combine like terms: 10b + -9b = 1b -20 + 1b = 7 Solving -20 + 1b = 7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1b = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 1b = 7 + 20 1b = 7 + 20 Combine like terms: 7 + 20 = 27 1b = 27 Divide each side by '1'. b = 27 Simplifying b = 27
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