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Simplifying 7(14b + 15) = -4(-20b + -15) + 19b Reorder the terms: 7(15 + 14b) = -4(-20b + -15) + 19b (15 * 7 + 14b * 7) = -4(-20b + -15) + 19b (105 + 98b) = -4(-20b + -15) + 19b Reorder the terms: 105 + 98b = -4(-15 + -20b) + 19b 105 + 98b = (-15 * -4 + -20b * -4) + 19b 105 + 98b = (60 + 80b) + 19b Combine like terms: 80b + 19b = 99b 105 + 98b = 60 + 99b Solving 105 + 98b = 60 + 99b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-99b' to each side of the equation. 105 + 98b + -99b = 60 + 99b + -99b Combine like terms: 98b + -99b = -1b 105 + -1b = 60 + 99b + -99b Combine like terms: 99b + -99b = 0 105 + -1b = 60 + 0 105 + -1b = 60 Add '-105' to each side of the equation. 105 + -105 + -1b = 60 + -105 Combine like terms: 105 + -105 = 0 0 + -1b = 60 + -105 -1b = 60 + -105 Combine like terms: 60 + -105 = -45 -1b = -45 Divide each side by '-1'. b = 45 Simplifying b = 45
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