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Simplifying 5(10 + -3b) = 105 + -5b + 4(11b + -4b) (10 * 5 + -3b * 5) = 105 + -5b + 4(11b + -4b) (50 + -15b) = 105 + -5b + 4(11b + -4b) Combine like terms: 11b + -4b = 7b 50 + -15b = 105 + -5b + 4(7b) Remove parenthesis around (7b) 50 + -15b = 105 + -5b + 4 * 7b Multiply 4 * 7 50 + -15b = 105 + -5b + 28b Combine like terms: -5b + 28b = 23b 50 + -15b = 105 + 23b Solving 50 + -15b = 105 + 23b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-23b' to each side of the equation. 50 + -15b + -23b = 105 + 23b + -23b Combine like terms: -15b + -23b = -38b 50 + -38b = 105 + 23b + -23b Combine like terms: 23b + -23b = 0 50 + -38b = 105 + 0 50 + -38b = 105 Add '-50' to each side of the equation. 50 + -50 + -38b = 105 + -50 Combine like terms: 50 + -50 = 0 0 + -38b = 105 + -50 -38b = 105 + -50 Combine like terms: 105 + -50 = 55 -38b = 55 Divide each side by '-38'. b = -1.447368421 Simplifying b = -1.447368421
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