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Simplifying 8b + 8 + -4 = 5(8b + 5) + -3(8b + -1) Reorder the terms: 8 + -4 + 8b = 5(8b + 5) + -3(8b + -1) Combine like terms: 8 + -4 = 4 4 + 8b = 5(8b + 5) + -3(8b + -1) Reorder the terms: 4 + 8b = 5(5 + 8b) + -3(8b + -1) 4 + 8b = (5 * 5 + 8b * 5) + -3(8b + -1) 4 + 8b = (25 + 40b) + -3(8b + -1) Reorder the terms: 4 + 8b = 25 + 40b + -3(-1 + 8b) 4 + 8b = 25 + 40b + (-1 * -3 + 8b * -3) 4 + 8b = 25 + 40b + (3 + -24b) Reorder the terms: 4 + 8b = 25 + 3 + 40b + -24b Combine like terms: 25 + 3 = 28 4 + 8b = 28 + 40b + -24b Combine like terms: 40b + -24b = 16b 4 + 8b = 28 + 16b Solving 4 + 8b = 28 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 4 + 8b + -16b = 28 + 16b + -16b Combine like terms: 8b + -16b = -8b 4 + -8b = 28 + 16b + -16b Combine like terms: 16b + -16b = 0 4 + -8b = 28 + 0 4 + -8b = 28 Add '-4' to each side of the equation. 4 + -4 + -8b = 28 + -4 Combine like terms: 4 + -4 = 0 0 + -8b = 28 + -4 -8b = 28 + -4 Combine like terms: 28 + -4 = 24 -8b = 24 Divide each side by '-8'. b = -3 Simplifying b = -3
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