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Simplifying -1 + -5b = -3(b + 5) + -2 Reorder the terms: -1 + -5b = -3(5 + b) + -2 -1 + -5b = (5 * -3 + b * -3) + -2 -1 + -5b = (-15 + -3b) + -2 Reorder the terms: -1 + -5b = -15 + -2 + -3b Combine like terms: -15 + -2 = -17 -1 + -5b = -17 + -3b Solving -1 + -5b = -17 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -1 + -5b + 3b = -17 + -3b + 3b Combine like terms: -5b + 3b = -2b -1 + -2b = -17 + -3b + 3b Combine like terms: -3b + 3b = 0 -1 + -2b = -17 + 0 -1 + -2b = -17 Add '1' to each side of the equation. -1 + 1 + -2b = -17 + 1 Combine like terms: -1 + 1 = 0 0 + -2b = -17 + 1 -2b = -17 + 1 Combine like terms: -17 + 1 = -16 -2b = -16 Divide each side by '-2'. b = 8 Simplifying b = 8
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