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Simplifying 1 + -8b + 3b + -5 = 4(b + -1) + -6(b + 2) Reorder the terms: 1 + -5 + -8b + 3b = 4(b + -1) + -6(b + 2) Combine like terms: 1 + -5 = -4 -4 + -8b + 3b = 4(b + -1) + -6(b + 2) Combine like terms: -8b + 3b = -5b -4 + -5b = 4(b + -1) + -6(b + 2) Reorder the terms: -4 + -5b = 4(-1 + b) + -6(b + 2) -4 + -5b = (-1 * 4 + b * 4) + -6(b + 2) -4 + -5b = (-4 + 4b) + -6(b + 2) Reorder the terms: -4 + -5b = -4 + 4b + -6(2 + b) -4 + -5b = -4 + 4b + (2 * -6 + b * -6) -4 + -5b = -4 + 4b + (-12 + -6b) Reorder the terms: -4 + -5b = -4 + -12 + 4b + -6b Combine like terms: -4 + -12 = -16 -4 + -5b = -16 + 4b + -6b Combine like terms: 4b + -6b = -2b -4 + -5b = -16 + -2b Solving -4 + -5b = -16 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -4 + -5b + 2b = -16 + -2b + 2b Combine like terms: -5b + 2b = -3b -4 + -3b = -16 + -2b + 2b Combine like terms: -2b + 2b = 0 -4 + -3b = -16 + 0 -4 + -3b = -16 Add '4' to each side of the equation. -4 + 4 + -3b = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -3b = -16 + 4 -3b = -16 + 4 Combine like terms: -16 + 4 = -12 -3b = -12 Divide each side by '-3'. b = 4 Simplifying b = 4
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