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Simplifying 5 + -3(4 + -2b) = 4(b + -3) 5 + (4 * -3 + -2b * -3) = 4(b + -3) 5 + (-12 + 6b) = 4(b + -3) Combine like terms: 5 + -12 = -7 -7 + 6b = 4(b + -3) Reorder the terms: -7 + 6b = 4(-3 + b) -7 + 6b = (-3 * 4 + b * 4) -7 + 6b = (-12 + 4b) Solving -7 + 6b = -12 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -7 + 6b + -4b = -12 + 4b + -4b Combine like terms: 6b + -4b = 2b -7 + 2b = -12 + 4b + -4b Combine like terms: 4b + -4b = 0 -7 + 2b = -12 + 0 -7 + 2b = -12 Add '7' to each side of the equation. -7 + 7 + 2b = -12 + 7 Combine like terms: -7 + 7 = 0 0 + 2b = -12 + 7 2b = -12 + 7 Combine like terms: -12 + 7 = -5 2b = -5 Divide each side by '2'. b = -2.5 Simplifying b = -2.5
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