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Simplifying 7(1 + -3b) + -2b = -2(5 + 3b) (1 * 7 + -3b * 7) + -2b = -2(5 + 3b) (7 + -21b) + -2b = -2(5 + 3b) Combine like terms: -21b + -2b = -23b 7 + -23b = -2(5 + 3b) 7 + -23b = (5 * -2 + 3b * -2) 7 + -23b = (-10 + -6b) Solving 7 + -23b = -10 + -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 + -23b + 6b = -10 + -6b + 6b Combine like terms: -23b + 6b = -17b 7 + -17b = -10 + -6b + 6b Combine like terms: -6b + 6b = 0 7 + -17b = -10 + 0 7 + -17b = -10 Add '-7' to each side of the equation. 7 + -7 + -17b = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -17b = -10 + -7 -17b = -10 + -7 Combine like terms: -10 + -7 = -17 -17b = -17 Divide each side by '-17'. b = 1 Simplifying b = 1
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