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Simplifying -3(b + 4) + -7b = -6b + -1(5b + 2) Reorder the terms: -3(4 + b) + -7b = -6b + -1(5b + 2) (4 * -3 + b * -3) + -7b = -6b + -1(5b + 2) (-12 + -3b) + -7b = -6b + -1(5b + 2) Combine like terms: -3b + -7b = -10b -12 + -10b = -6b + -1(5b + 2) Reorder the terms: -12 + -10b = -6b + -1(2 + 5b) -12 + -10b = -6b + (2 * -1 + 5b * -1) -12 + -10b = -6b + (-2 + -5b) Reorder the terms: -12 + -10b = -2 + -6b + -5b Combine like terms: -6b + -5b = -11b -12 + -10b = -2 + -11b Solving -12 + -10b = -2 + -11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11b' to each side of the equation. -12 + -10b + 11b = -2 + -11b + 11b Combine like terms: -10b + 11b = 1b -12 + 1b = -2 + -11b + 11b Combine like terms: -11b + 11b = 0 -12 + 1b = -2 + 0 -12 + 1b = -2 Add '12' to each side of the equation. -12 + 12 + 1b = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = -2 + 12 1b = -2 + 12 Combine like terms: -2 + 12 = 10 1b = 10 Divide each side by '1'. b = 10 Simplifying b = 10
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