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Simplifying 8(b + -2) + 3 = 6b + -3 Reorder the terms: 8(-2 + b) + 3 = 6b + -3 (-2 * 8 + b * 8) + 3 = 6b + -3 (-16 + 8b) + 3 = 6b + -3 Reorder the terms: -16 + 3 + 8b = 6b + -3 Combine like terms: -16 + 3 = -13 -13 + 8b = 6b + -3 Reorder the terms: -13 + 8b = -3 + 6b Solving -13 + 8b = -3 + 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. -13 + 8b + -6b = -3 + 6b + -6b Combine like terms: 8b + -6b = 2b -13 + 2b = -3 + 6b + -6b Combine like terms: 6b + -6b = 0 -13 + 2b = -3 + 0 -13 + 2b = -3 Add '13' to each side of the equation. -13 + 13 + 2b = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 2b = -3 + 13 2b = -3 + 13 Combine like terms: -3 + 13 = 10 2b = 10 Divide each side by '2'. b = 5 Simplifying b = 5
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