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Simplifying (11b + -3) + -5(2b + 3) = -7 Reorder the terms: (-3 + 11b) + -5(2b + 3) = -7 Remove parenthesis around (-3 + 11b) -3 + 11b + -5(2b + 3) = -7 Reorder the terms: -3 + 11b + -5(3 + 2b) = -7 -3 + 11b + (3 * -5 + 2b * -5) = -7 -3 + 11b + (-15 + -10b) = -7 Reorder the terms: -3 + -15 + 11b + -10b = -7 Combine like terms: -3 + -15 = -18 -18 + 11b + -10b = -7 Combine like terms: 11b + -10b = 1b -18 + 1b = -7 Solving -18 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1b = -7 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = -7 + 18 1b = -7 + 18 Combine like terms: -7 + 18 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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