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Simplifying 5(b + 3) + -3b + 5 = 4(b + -1) Reorder the terms: 5(3 + b) + -3b + 5 = 4(b + -1) (3 * 5 + b * 5) + -3b + 5 = 4(b + -1) (15 + 5b) + -3b + 5 = 4(b + -1) Reorder the terms: 15 + 5 + 5b + -3b = 4(b + -1) Combine like terms: 15 + 5 = 20 20 + 5b + -3b = 4(b + -1) Combine like terms: 5b + -3b = 2b 20 + 2b = 4(b + -1) Reorder the terms: 20 + 2b = 4(-1 + b) 20 + 2b = (-1 * 4 + b * 4) 20 + 2b = (-4 + 4b) Solving 20 + 2b = -4 + 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. 20 + 2b + -4b = -4 + 4b + -4b Combine like terms: 2b + -4b = -2b 20 + -2b = -4 + 4b + -4b Combine like terms: 4b + -4b = 0 20 + -2b = -4 + 0 20 + -2b = -4 Add '-20' to each side of the equation. 20 + -20 + -2b = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -2b = -4 + -20 -2b = -4 + -20 Combine like terms: -4 + -20 = -24 -2b = -24 Divide each side by '-2'. b = 12 Simplifying b = 12
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