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Simplifying 5(b + -3) + 2(1 + -4b) = 2 Reorder the terms: 5(-3 + b) + 2(1 + -4b) = 2 (-3 * 5 + b * 5) + 2(1 + -4b) = 2 (-15 + 5b) + 2(1 + -4b) = 2 -15 + 5b + (1 * 2 + -4b * 2) = 2 -15 + 5b + (2 + -8b) = 2 Reorder the terms: -15 + 2 + 5b + -8b = 2 Combine like terms: -15 + 2 = -13 -13 + 5b + -8b = 2 Combine like terms: 5b + -8b = -3b -13 + -3b = 2 Solving -13 + -3b = 2 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 + -3b = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -3b = 2 + 13 -3b = 2 + 13 Combine like terms: 2 + 13 = 15 -3b = 15 Divide each side by '-3'. b = -5 Simplifying b = -5
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