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Simplifying 1 + -4b + 6b + -4 = -8(-1b + 6) + -3(1 + 3b) Reorder the terms: 1 + -4 + -4b + 6b = -8(-1b + 6) + -3(1 + 3b) Combine like terms: 1 + -4 = -3 -3 + -4b + 6b = -8(-1b + 6) + -3(1 + 3b) Combine like terms: -4b + 6b = 2b -3 + 2b = -8(-1b + 6) + -3(1 + 3b) Reorder the terms: -3 + 2b = -8(6 + -1b) + -3(1 + 3b) -3 + 2b = (6 * -8 + -1b * -8) + -3(1 + 3b) -3 + 2b = (-48 + 8b) + -3(1 + 3b) -3 + 2b = -48 + 8b + (1 * -3 + 3b * -3) -3 + 2b = -48 + 8b + (-3 + -9b) Reorder the terms: -3 + 2b = -48 + -3 + 8b + -9b Combine like terms: -48 + -3 = -51 -3 + 2b = -51 + 8b + -9b Combine like terms: 8b + -9b = -1b -3 + 2b = -51 + -1b Solving -3 + 2b = -51 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -3 + 2b + b = -51 + -1b + b Combine like terms: 2b + b = 3b -3 + 3b = -51 + -1b + b Combine like terms: -1b + b = 0 -3 + 3b = -51 + 0 -3 + 3b = -51 Add '3' to each side of the equation. -3 + 3 + 3b = -51 + 3 Combine like terms: -3 + 3 = 0 0 + 3b = -51 + 3 3b = -51 + 3 Combine like terms: -51 + 3 = -48 3b = -48 Divide each side by '3'. b = -16 Simplifying b = -16
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