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Simplifying -3(2b + 5) + -2(b + 5) = -65 Reorder the terms: -3(5 + 2b) + -2(b + 5) = -65 (5 * -3 + 2b * -3) + -2(b + 5) = -65 (-15 + -6b) + -2(b + 5) = -65 Reorder the terms: -15 + -6b + -2(5 + b) = -65 -15 + -6b + (5 * -2 + b * -2) = -65 -15 + -6b + (-10 + -2b) = -65 Reorder the terms: -15 + -10 + -6b + -2b = -65 Combine like terms: -15 + -10 = -25 -25 + -6b + -2b = -65 Combine like terms: -6b + -2b = -8b -25 + -8b = -65 Solving -25 + -8b = -65 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -8b = -65 + 25 Combine like terms: -25 + 25 = 0 0 + -8b = -65 + 25 -8b = -65 + 25 Combine like terms: -65 + 25 = -40 -8b = -40 Divide each side by '-8'. b = 5 Simplifying b = 5
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