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Simplifying -5 + -1(15b + -1) = 2(7b + -16) + -1b Reorder the terms: -5 + -1(-1 + 15b) = 2(7b + -16) + -1b -5 + (-1 * -1 + 15b * -1) = 2(7b + -16) + -1b -5 + (1 + -15b) = 2(7b + -16) + -1b Combine like terms: -5 + 1 = -4 -4 + -15b = 2(7b + -16) + -1b Reorder the terms: -4 + -15b = 2(-16 + 7b) + -1b -4 + -15b = (-16 * 2 + 7b * 2) + -1b -4 + -15b = (-32 + 14b) + -1b Combine like terms: 14b + -1b = 13b -4 + -15b = -32 + 13b Solving -4 + -15b = -32 + 13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13b' to each side of the equation. -4 + -15b + -13b = -32 + 13b + -13b Combine like terms: -15b + -13b = -28b -4 + -28b = -32 + 13b + -13b Combine like terms: 13b + -13b = 0 -4 + -28b = -32 + 0 -4 + -28b = -32 Add '4' to each side of the equation. -4 + 4 + -28b = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -28b = -32 + 4 -28b = -32 + 4 Combine like terms: -32 + 4 = -28 -28b = -28 Divide each side by '-28'. b = 1 Simplifying b = 1
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