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Simplifying -5(b + 5) + 3(b + -12) = -75 Reorder the terms: -5(5 + b) + 3(b + -12) = -75 (5 * -5 + b * -5) + 3(b + -12) = -75 (-25 + -5b) + 3(b + -12) = -75 Reorder the terms: -25 + -5b + 3(-12 + b) = -75 -25 + -5b + (-12 * 3 + b * 3) = -75 -25 + -5b + (-36 + 3b) = -75 Reorder the terms: -25 + -36 + -5b + 3b = -75 Combine like terms: -25 + -36 = -61 -61 + -5b + 3b = -75 Combine like terms: -5b + 3b = -2b -61 + -2b = -75 Solving -61 + -2b = -75 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + -2b = -75 + 61 Combine like terms: -61 + 61 = 0 0 + -2b = -75 + 61 -2b = -75 + 61 Combine like terms: -75 + 61 = -14 -2b = -14 Divide each side by '-2'. b = 7 Simplifying b = 7
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