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Simplifying 5(2b + -3) + -1(11b + 1) = 20 Reorder the terms: 5(-3 + 2b) + -1(11b + 1) = 20 (-3 * 5 + 2b * 5) + -1(11b + 1) = 20 (-15 + 10b) + -1(11b + 1) = 20 Reorder the terms: -15 + 10b + -1(1 + 11b) = 20 -15 + 10b + (1 * -1 + 11b * -1) = 20 -15 + 10b + (-1 + -11b) = 20 Reorder the terms: -15 + -1 + 10b + -11b = 20 Combine like terms: -15 + -1 = -16 -16 + 10b + -11b = 20 Combine like terms: 10b + -11b = -1b -16 + -1b = 20 Solving -16 + -1b = 20 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1b = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -1b = 20 + 16 -1b = 20 + 16 Combine like terms: 20 + 16 = 36 -1b = 36 Divide each side by '-1'. b = -36 Simplifying b = -36
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