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Simplifying 15b + 3(2b + -7) + -9(4 + 5b) = 0 Reorder the terms: 15b + 3(-7 + 2b) + -9(4 + 5b) = 0 15b + (-7 * 3 + 2b * 3) + -9(4 + 5b) = 0 15b + (-21 + 6b) + -9(4 + 5b) = 0 15b + -21 + 6b + (4 * -9 + 5b * -9) = 0 15b + -21 + 6b + (-36 + -45b) = 0 Reorder the terms: -21 + -36 + 15b + 6b + -45b = 0 Combine like terms: -21 + -36 = -57 -57 + 15b + 6b + -45b = 0 Combine like terms: 15b + 6b = 21b -57 + 21b + -45b = 0 Combine like terms: 21b + -45b = -24b -57 + -24b = 0 Solving -57 + -24b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -24b = 0 + 57 Combine like terms: -57 + 57 = 0 0 + -24b = 0 + 57 -24b = 0 + 57 Combine like terms: 0 + 57 = 57 -24b = 57 Divide each side by '-24'. b = -2.375 Simplifying b = -2.375
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