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Simplifying (10b + -4) + -3(3b + 3) = -7 Reorder the terms: (-4 + 10b) + -3(3b + 3) = -7 Remove parenthesis around (-4 + 10b) -4 + 10b + -3(3b + 3) = -7 Reorder the terms: -4 + 10b + -3(3 + 3b) = -7 -4 + 10b + (3 * -3 + 3b * -3) = -7 -4 + 10b + (-9 + -9b) = -7 Reorder the terms: -4 + -9 + 10b + -9b = -7 Combine like terms: -4 + -9 = -13 -13 + 10b + -9b = -7 Combine like terms: 10b + -9b = 1b -13 + 1b = -7 Solving -13 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = -7 + 13 1b = -7 + 13 Combine like terms: -7 + 13 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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