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Simplifying -7(2b + -3) = 5(-2b + 6) Reorder the terms: -7(-3 + 2b) = 5(-2b + 6) (-3 * -7 + 2b * -7) = 5(-2b + 6) (21 + -14b) = 5(-2b + 6) Reorder the terms: 21 + -14b = 5(6 + -2b) 21 + -14b = (6 * 5 + -2b * 5) 21 + -14b = (30 + -10b) Solving 21 + -14b = 30 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 21 + -14b + 10b = 30 + -10b + 10b Combine like terms: -14b + 10b = -4b 21 + -4b = 30 + -10b + 10b Combine like terms: -10b + 10b = 0 21 + -4b = 30 + 0 21 + -4b = 30 Add '-21' to each side of the equation. 21 + -21 + -4b = 30 + -21 Combine like terms: 21 + -21 = 0 0 + -4b = 30 + -21 -4b = 30 + -21 Combine like terms: 30 + -21 = 9 -4b = 9 Divide each side by '-4'. b = -2.25 Simplifying b = -2.25
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