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Simplifying (5b + -7) + -2(2b + 3) = -7 Reorder the terms: (-7 + 5b) + -2(2b + 3) = -7 Remove parenthesis around (-7 + 5b) -7 + 5b + -2(2b + 3) = -7 Reorder the terms: -7 + 5b + -2(3 + 2b) = -7 -7 + 5b + (3 * -2 + 2b * -2) = -7 -7 + 5b + (-6 + -4b) = -7 Reorder the terms: -7 + -6 + 5b + -4b = -7 Combine like terms: -7 + -6 = -13 -13 + 5b + -4b = -7 Combine like terms: 5b + -4b = 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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