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Simplifying -10(1 + 4b) + 12 = 6(-7b + -8) * 6 (1 * -10 + 4b * -10) + 12 = 6(-7b + -8) * 6 (-10 + -40b) + 12 = 6(-7b + -8) * 6 Reorder the terms: -10 + 12 + -40b = 6(-7b + -8) * 6 Combine like terms: -10 + 12 = 2 2 + -40b = 6(-7b + -8) * 6 Reorder the terms: 2 + -40b = 6(-8 + -7b) * 6 Reorder the terms for easier multiplication: 2 + -40b = 6 * 6(-8 + -7b) Multiply 6 * 6 2 + -40b = 36(-8 + -7b) 2 + -40b = (-8 * 36 + -7b * 36) 2 + -40b = (-288 + -252b) Solving 2 + -40b = -288 + -252b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '252b' to each side of the equation. 2 + -40b + 252b = -288 + -252b + 252b Combine like terms: -40b + 252b = 212b 2 + 212b = -288 + -252b + 252b Combine like terms: -252b + 252b = 0 2 + 212b = -288 + 0 2 + 212b = -288 Add '-2' to each side of the equation. 2 + -2 + 212b = -288 + -2 Combine like terms: 2 + -2 = 0 0 + 212b = -288 + -2 212b = -288 + -2 Combine like terms: -288 + -2 = -290 212b = -290 Divide each side by '212'. b = -1.367924528 Simplifying b = -1.367924528
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