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Simplifying 4b(b + 3) + -15(b + 3) = 4b2 Reorder the terms: 4b(3 + b) + -15(b + 3) = 4b2 (3 * 4b + b * 4b) + -15(b + 3) = 4b2 (12b + 4b2) + -15(b + 3) = 4b2 Reorder the terms: 12b + 4b2 + -15(3 + b) = 4b2 12b + 4b2 + (3 * -15 + b * -15) = 4b2 12b + 4b2 + (-45 + -15b) = 4b2 Reorder the terms: -45 + 12b + -15b + 4b2 = 4b2 Combine like terms: 12b + -15b = -3b -45 + -3b + 4b2 = 4b2 Add '-4b2' to each side of the equation. -45 + -3b + 4b2 + -4b2 = 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 -45 + -3b + 0 = 4b2 + -4b2 -45 + -3b = 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 -45 + -3b = 0 Solving -45 + -3b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -3b = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -3b = 0 + 45 -3b = 0 + 45 Combine like terms: 0 + 45 = 45 -3b = 45 Divide each side by '-3'. b = -15 Simplifying b = -15
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