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Simplifying 3(b + -1) + -1 = 8(b + -1) + -6 Reorder the terms: 3(-1 + b) + -1 = 8(b + -1) + -6 (-1 * 3 + b * 3) + -1 = 8(b + -1) + -6 (-3 + 3b) + -1 = 8(b + -1) + -6 Reorder the terms: -3 + -1 + 3b = 8(b + -1) + -6 Combine like terms: -3 + -1 = -4 -4 + 3b = 8(b + -1) + -6 Reorder the terms: -4 + 3b = 8(-1 + b) + -6 -4 + 3b = (-1 * 8 + b * 8) + -6 -4 + 3b = (-8 + 8b) + -6 Reorder the terms: -4 + 3b = -8 + -6 + 8b Combine like terms: -8 + -6 = -14 -4 + 3b = -14 + 8b Solving -4 + 3b = -14 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -4 + 3b + -8b = -14 + 8b + -8b Combine like terms: 3b + -8b = -5b -4 + -5b = -14 + 8b + -8b Combine like terms: 8b + -8b = 0 -4 + -5b = -14 + 0 -4 + -5b = -14 Add '4' to each side of the equation. -4 + 4 + -5b = -14 + 4 Combine like terms: -4 + 4 = 0 0 + -5b = -14 + 4 -5b = -14 + 4 Combine like terms: -14 + 4 = -10 -5b = -10 Divide each side by '-5'. b = 2 Simplifying b = 2
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