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Simplifying (11b + -7) + -5(2b + 3) = -7 Reorder the terms: (-7 + 11b) + -5(2b + 3) = -7 Remove parenthesis around (-7 + 11b) -7 + 11b + -5(2b + 3) = -7 Reorder the terms: -7 + 11b + -5(3 + 2b) = -7 -7 + 11b + (3 * -5 + 2b * -5) = -7 -7 + 11b + (-15 + -10b) = -7 Reorder the terms: -7 + -15 + 11b + -10b = -7 Combine like terms: -7 + -15 = -22 -22 + 11b + -10b = -7 Combine like terms: 11b + -10b = 1b -22 + 1b = -7 Solving -22 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 1b = -7 + 22 Combine like terms: -22 + 22 = 0 0 + 1b = -7 + 22 1b = -7 + 22 Combine like terms: -7 + 22 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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