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Simplifying 7(1 + -2b) = 3(2b + -5) (1 * 7 + -2b * 7) = 3(2b + -5) (7 + -14b) = 3(2b + -5) Reorder the terms: 7 + -14b = 3(-5 + 2b) 7 + -14b = (-5 * 3 + 2b * 3) 7 + -14b = (-15 + 6b) Solving 7 + -14b = -15 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 7 + -14b + -6b = -15 + 6b + -6b Combine like terms: -14b + -6b = -20b 7 + -20b = -15 + 6b + -6b Combine like terms: 6b + -6b = 0 7 + -20b = -15 + 0 7 + -20b = -15 Add '-7' to each side of the equation. 7 + -7 + -20b = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -20b = -15 + -7 -20b = -15 + -7 Combine like terms: -15 + -7 = -22 -20b = -22 Divide each side by '-20'. b = 1.1 Simplifying b = 1.1
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