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Simplifying 8(-5b + -2) + 3 = -13 + 2b Reorder the terms: 8(-2 + -5b) + 3 = -13 + 2b (-2 * 8 + -5b * 8) + 3 = -13 + 2b (-16 + -40b) + 3 = -13 + 2b Reorder the terms: -16 + 3 + -40b = -13 + 2b Combine like terms: -16 + 3 = -13 -13 + -40b = -13 + 2b Add '13' to each side of the equation. -13 + 13 + -40b = -13 + 13 + 2b Combine like terms: -13 + 13 = 0 0 + -40b = -13 + 13 + 2b -40b = -13 + 13 + 2b Combine like terms: -13 + 13 = 0 -40b = 0 + 2b -40b = 2b Solving -40b = 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -40b + -2b = 2b + -2b Combine like terms: -40b + -2b = -42b -42b = 2b + -2b Combine like terms: 2b + -2b = 0 -42b = 0 Divide each side by '-42'. b = 0 Simplifying b = 0
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