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Simplifying -7(3b + 2) = -20 + -15(b + 24) Reorder the terms: -7(2 + 3b) = -20 + -15(b + 24) (2 * -7 + 3b * -7) = -20 + -15(b + 24) (-14 + -21b) = -20 + -15(b + 24) Reorder the terms: -14 + -21b = -20 + -15(24 + b) -14 + -21b = -20 + (24 * -15 + b * -15) -14 + -21b = -20 + (-360 + -15b) Combine like terms: -20 + -360 = -380 -14 + -21b = -380 + -15b Solving -14 + -21b = -380 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -14 + -21b + 15b = -380 + -15b + 15b Combine like terms: -21b + 15b = -6b -14 + -6b = -380 + -15b + 15b Combine like terms: -15b + 15b = 0 -14 + -6b = -380 + 0 -14 + -6b = -380 Add '14' to each side of the equation. -14 + 14 + -6b = -380 + 14 Combine like terms: -14 + 14 = 0 0 + -6b = -380 + 14 -6b = -380 + 14 Combine like terms: -380 + 14 = -366 -6b = -366 Divide each side by '-6'. b = 61 Simplifying b = 61
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