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Simplifying -3(b + 5) + -1 = -6b + -1(b + 8) Reorder the terms: -3(5 + b) + -1 = -6b + -1(b + 8) (5 * -3 + b * -3) + -1 = -6b + -1(b + 8) (-15 + -3b) + -1 = -6b + -1(b + 8) Reorder the terms: -15 + -1 + -3b = -6b + -1(b + 8) Combine like terms: -15 + -1 = -16 -16 + -3b = -6b + -1(b + 8) Reorder the terms: -16 + -3b = -6b + -1(8 + b) -16 + -3b = -6b + (8 * -1 + b * -1) -16 + -3b = -6b + (-8 + -1b) Reorder the terms: -16 + -3b = -8 + -6b + -1b Combine like terms: -6b + -1b = -7b -16 + -3b = -8 + -7b Solving -16 + -3b = -8 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -16 + -3b + 7b = -8 + -7b + 7b Combine like terms: -3b + 7b = 4b -16 + 4b = -8 + -7b + 7b Combine like terms: -7b + 7b = 0 -16 + 4b = -8 + 0 -16 + 4b = -8 Add '16' to each side of the equation. -16 + 16 + 4b = -8 + 16 Combine like terms: -16 + 16 = 0 0 + 4b = -8 + 16 4b = -8 + 16 Combine like terms: -8 + 16 = 8 4b = 8 Divide each side by '4'. b = 2 Simplifying b = 2
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