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Simplifying 5b + -3b + 4 = 7b + -4(b + 3) Reorder the terms: 4 + 5b + -3b = 7b + -4(b + 3) Combine like terms: 5b + -3b = 2b 4 + 2b = 7b + -4(b + 3) Reorder the terms: 4 + 2b = 7b + -4(3 + b) 4 + 2b = 7b + (3 * -4 + b * -4) 4 + 2b = 7b + (-12 + -4b) Reorder the terms: 4 + 2b = -12 + 7b + -4b Combine like terms: 7b + -4b = 3b 4 + 2b = -12 + 3b Solving 4 + 2b = -12 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 4 + 2b + -3b = -12 + 3b + -3b Combine like terms: 2b + -3b = -1b 4 + -1b = -12 + 3b + -3b Combine like terms: 3b + -3b = 0 4 + -1b = -12 + 0 4 + -1b = -12 Add '-4' to each side of the equation. 4 + -4 + -1b = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = -12 + -4 -1b = -12 + -4 Combine like terms: -12 + -4 = -16 -1b = -16 Divide each side by '-1'. b = 16 Simplifying b = 16
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