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Simplifying 3(2b + -7) + -2(b + -3) = -9 Reorder the terms: 3(-7 + 2b) + -2(b + -3) = -9 (-7 * 3 + 2b * 3) + -2(b + -3) = -9 (-21 + 6b) + -2(b + -3) = -9 Reorder the terms: -21 + 6b + -2(-3 + b) = -9 -21 + 6b + (-3 * -2 + b * -2) = -9 -21 + 6b + (6 + -2b) = -9 Reorder the terms: -21 + 6 + 6b + -2b = -9 Combine like terms: -21 + 6 = -15 -15 + 6b + -2b = -9 Combine like terms: 6b + -2b = 4b -15 + 4b = -9 Solving -15 + 4b = -9 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4b = -9 + 15 Combine like terms: -15 + 15 = 0 0 + 4b = -9 + 15 4b = -9 + 15 Combine like terms: -9 + 15 = 6 4b = 6 Divide each side by '4'. b = 1.5 Simplifying b = 1.5
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