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Simplifying 38 + -5b = -3(-5 + -5b) + 3b 38 + -5b = (-5 * -3 + -5b * -3) + 3b 38 + -5b = (15 + 15b) + 3b Combine like terms: 15b + 3b = 18b 38 + -5b = 15 + 18b Solving 38 + -5b = 15 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. 38 + -5b + -18b = 15 + 18b + -18b Combine like terms: -5b + -18b = -23b 38 + -23b = 15 + 18b + -18b Combine like terms: 18b + -18b = 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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