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Simplifying 4b + -3(1 + -2b) = -7 + -4(-5b + 4) 4b + (1 * -3 + -2b * -3) = -7 + -4(-5b + 4) 4b + (-3 + 6b) = -7 + -4(-5b + 4) Reorder the terms: -3 + 4b + 6b = -7 + -4(-5b + 4) Combine like terms: 4b + 6b = 10b -3 + 10b = -7 + -4(-5b + 4) Reorder the terms: -3 + 10b = -7 + -4(4 + -5b) -3 + 10b = -7 + (4 * -4 + -5b * -4) -3 + 10b = -7 + (-16 + 20b) Combine like terms: -7 + -16 = -23 -3 + 10b = -23 + 20b Solving -3 + 10b = -23 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. -3 + 10b + -20b = -23 + 20b + -20b Combine like terms: 10b + -20b = -10b -3 + -10b = -23 + 20b + -20b Combine like terms: 20b + -20b = 0 -3 + -10b = -23 + 0 -3 + -10b = -23 Add '3' to each side of the equation. -3 + 3 + -10b = -23 + 3 Combine like terms: -3 + 3 = 0 0 + -10b = -23 + 3 -10b = -23 + 3 Combine like terms: -23 + 3 = -20 -10b = -20 Divide each side by '-10'. b = 2 Simplifying b = 2
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