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Simplifying 4 + -3b = 7 + -2(2b + 5) Reorder the terms: 4 + -3b = 7 + -2(5 + 2b) 4 + -3b = 7 + (5 * -2 + 2b * -2) 4 + -3b = 7 + (-10 + -4b) Combine like terms: 7 + -10 = -3 4 + -3b = -3 + -4b Solving 4 + -3b = -3 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 4 + -3b + 4b = -3 + -4b + 4b Combine like terms: -3b + 4b = 1b 4 + 1b = -3 + -4b + 4b Combine like terms: -4b + 4b = 0 4 + 1b = -3 + 0 4 + 1b = -3 Add '-4' to each side of the equation. 4 + -4 + 1b = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 1b = -3 + -4 1b = -3 + -4 Combine like terms: -3 + -4 = -7 1b = -7 Divide each side by '1'. b = -7 Simplifying b = -7
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