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Simplifying 5(10 + -3b) = 105 + -8b + 4(11 + -46) (10 * 5 + -3b * 5) = 105 + -8b + 4(11 + -46) (50 + -15b) = 105 + -8b + 4(11 + -46) Combine like terms: 11 + -46 = -35 50 + -15b = 105 + -8b + 4(-35) Multiply 4 * -35 50 + -15b = 105 + -8b + -140 Reorder the terms: 50 + -15b = 105 + -140 + -8b Combine like terms: 105 + -140 = -35 50 + -15b = -35 + -8b Solving 50 + -15b = -35 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 50 + -15b + 8b = -35 + -8b + 8b Combine like terms: -15b + 8b = -7b 50 + -7b = -35 + -8b + 8b Combine like terms: -8b + 8b = 0 50 + -7b = -35 + 0 50 + -7b = -35 Add '-50' to each side of the equation. 50 + -50 + -7b = -35 + -50 Combine like terms: 50 + -50 = 0 0 + -7b = -35 + -50 -7b = -35 + -50 Combine like terms: -35 + -50 = -85 -7b = -85 Divide each side by '-7'. b = 12.14285714 Simplifying b = 12.14285714
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