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Simplifying 38 + -4b = 5(3 + 3b) + 4b 38 + -4b = (3 * 5 + 3b * 5) + 4b 38 + -4b = (15 + 15b) + 4b Combine like terms: 15b + 4b = 19b 38 + -4b = 15 + 19b Solving 38 + -4b = 15 + 19b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19b' to each side of the equation. 38 + -4b + -19b = 15 + 19b + -19b Combine like terms: -4b + -19b = -23b 38 + -23b = 15 + 19b + -19b Combine like terms: 19b + -19b = 0 38 + -23b = 15 + 0 38 + -23b = 15 Add '-38' to each side of the equation. 38 + -38 + -23b = 15 + -38 Combine like terms: 38 + -38 = 0 0 + -23b = 15 + -38 -23b = 15 + -38 Combine like terms: 15 + -38 = -23 -23b = -23 Divide each side by '-23'. b = 1 Simplifying b = 1
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