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Simplifying 4b(b + -4) + -1b2 = 3b2 + -1b + -8 Reorder the terms: 4b(-4 + b) + -1b2 = 3b2 + -1b + -8 (-4 * 4b + b * 4b) + -1b2 = 3b2 + -1b + -8 (-16b + 4b2) + -1b2 = 3b2 + -1b + -8 Combine like terms: 4b2 + -1b2 = 3b2 -16b + 3b2 = 3b2 + -1b + -8 Reorder the terms: -16b + 3b2 = -8 + -1b + 3b2 Add '-3b2' to each side of the equation. -16b + 3b2 + -3b2 = -8 + -1b + 3b2 + -3b2 Combine like terms: 3b2 + -3b2 = 0 -16b + 0 = -8 + -1b + 3b2 + -3b2 -16b = -8 + -1b + 3b2 + -3b2 Combine like terms: 3b2 + -3b2 = 0 -16b = -8 + -1b + 0 -16b = -8 + -1b Solving -16b = -8 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -16b + b = -8 + -1b + b Combine like terms: -16b + b = -15b -15b = -8 + -1b + b Combine like terms: -1b + b = 0 -15b = -8 + 0 -15b = -8 Divide each side by '-15'. b = 0.5333333333 Simplifying b = 0.5333333333
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