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Simplifying -6 + -3(1 + 4b) = -2(-4 + 7b) + 5 -6 + (1 * -3 + 4b * -3) = -2(-4 + 7b) + 5 -6 + (-3 + -12b) = -2(-4 + 7b) + 5 Combine like terms: -6 + -3 = -9 -9 + -12b = -2(-4 + 7b) + 5 -9 + -12b = (-4 * -2 + 7b * -2) + 5 -9 + -12b = (8 + -14b) + 5 Reorder the terms: -9 + -12b = 8 + 5 + -14b Combine like terms: 8 + 5 = 13 -9 + -12b = 13 + -14b Solving -9 + -12b = 13 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. -9 + -12b + 14b = 13 + -14b + 14b Combine like terms: -12b + 14b = 2b -9 + 2b = 13 + -14b + 14b Combine like terms: -14b + 14b = 0 -9 + 2b = 13 + 0 -9 + 2b = 13 Add '9' to each side of the equation. -9 + 9 + 2b = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 2b = 13 + 9 2b = 13 + 9 Combine like terms: 13 + 9 = 22 2b = 22 Divide each side by '2'. b = 11 Simplifying b = 11
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