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Simplifying -6(1 + 3b) + -6b = 2(7 + -5b) + 6b (1 * -6 + 3b * -6) + -6b = 2(7 + -5b) + 6b (-6 + -18b) + -6b = 2(7 + -5b) + 6b Combine like terms: -18b + -6b = -24b -6 + -24b = 2(7 + -5b) + 6b -6 + -24b = (7 * 2 + -5b * 2) + 6b -6 + -24b = (14 + -10b) + 6b Combine like terms: -10b + 6b = -4b -6 + -24b = 14 + -4b Solving -6 + -24b = 14 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -6 + -24b + 4b = 14 + -4b + 4b Combine like terms: -24b + 4b = -20b -6 + -20b = 14 + -4b + 4b Combine like terms: -4b + 4b = 0 -6 + -20b = 14 + 0 -6 + -20b = 14 Add '6' to each side of the equation. -6 + 6 + -20b = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -20b = 14 + 6 -20b = 14 + 6 Combine like terms: 14 + 6 = 20 -20b = 20 Divide each side by '-20'. b = -1 Simplifying b = -1
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