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Simplifying 3 + -3(-2b + 2) = 4(b + -4) + 3 Reorder the terms: 3 + -3(2 + -2b) = 4(b + -4) + 3 3 + (2 * -3 + -2b * -3) = 4(b + -4) + 3 3 + (-6 + 6b) = 4(b + -4) + 3 Combine like terms: 3 + -6 = -3 -3 + 6b = 4(b + -4) + 3 Reorder the terms: -3 + 6b = 4(-4 + b) + 3 -3 + 6b = (-4 * 4 + b * 4) + 3 -3 + 6b = (-16 + 4b) + 3 Reorder the terms: -3 + 6b = -16 + 3 + 4b Combine like terms: -16 + 3 = -13 -3 + 6b = -13 + 4b Solving -3 + 6b = -13 + 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. -3 + 6b + -4b = -13 + 4b + -4b Combine like terms: 6b + -4b = 2b -3 + 2b = -13 + 4b + -4b Combine like terms: 4b + -4b = 0 -3 + 2b = -13 + 0 -3 + 2b = -13 Add '3' to each side of the equation. -3 + 3 + 2b = -13 + 3 Combine like terms: -3 + 3 = 0 0 + 2b = -13 + 3 2b = -13 + 3 Combine like terms: -13 + 3 = -10 2b = -10 Divide each side by '2'. b = -5 Simplifying b = -5
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