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Simplifying -6(1 + 3b) + 5b = -5(4 + 3b) (1 * -6 + 3b * -6) + 5b = -5(4 + 3b) (-6 + -18b) + 5b = -5(4 + 3b) Combine like terms: -18b + 5b = -13b -6 + -13b = -5(4 + 3b) -6 + -13b = (4 * -5 + 3b * -5) -6 + -13b = (-20 + -15b) Solving -6 + -13b = -20 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -6 + -13b + 15b = -20 + -15b + 15b Combine like terms: -13b + 15b = 2b -6 + 2b = -20 + -15b + 15b Combine like terms: -15b + 15b = 0 -6 + 2b = -20 + 0 -6 + 2b = -20 Add '6' to each side of the equation. -6 + 6 + 2b = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 2b = -20 + 6 2b = -20 + 6 Combine like terms: -20 + 6 = -14 2b = -14 Divide each side by '2'. b = -7 Simplifying b = -7
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