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Simplifying 2(-8b + -10) + 8 = -45 + -5b Reorder the terms: 2(-10 + -8b) + 8 = -45 + -5b (-10 * 2 + -8b * 2) + 8 = -45 + -5b (-20 + -16b) + 8 = -45 + -5b Reorder the terms: -20 + 8 + -16b = -45 + -5b Combine like terms: -20 + 8 = -12 -12 + -16b = -45 + -5b Solving -12 + -16b = -45 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -12 + -16b + 5b = -45 + -5b + 5b Combine like terms: -16b + 5b = -11b -12 + -11b = -45 + -5b + 5b Combine like terms: -5b + 5b = 0 -12 + -11b = -45 + 0 -12 + -11b = -45 Add '12' to each side of the equation. -12 + 12 + -11b = -45 + 12 Combine like terms: -12 + 12 = 0 0 + -11b = -45 + 12 -11b = -45 + 12 Combine like terms: -45 + 12 = -33 -11b = -33 Divide each side by '-11'. b = 3 Simplifying b = 3
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