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Simplifying b + -7 = 2b + -3(4b + 1) + -4 Reorder the terms: -7 + b = 2b + -3(4b + 1) + -4 Reorder the terms: -7 + b = 2b + -3(1 + 4b) + -4 -7 + b = 2b + (1 * -3 + 4b * -3) + -4 -7 + b = 2b + (-3 + -12b) + -4 Reorder the terms: -7 + b = -3 + -4 + 2b + -12b Combine like terms: -3 + -4 = -7 -7 + b = -7 + 2b + -12b Combine like terms: 2b + -12b = -10b -7 + b = -7 + -10b Add '7' to each side of the equation. -7 + 7 + b = -7 + 7 + -10b Combine like terms: -7 + 7 = 0 0 + b = -7 + 7 + -10b b = -7 + 7 + -10b Combine like terms: -7 + 7 = 0 b = 0 + -10b b = -10b Solving b = -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. b + 10b = -10b + 10b Combine like terms: b + 10b = 11b 11b = -10b + 10b Combine like terms: -10b + 10b = 0 11b = 0 Divide each side by '11'. b = 0 Simplifying b = 0
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