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Simplifying 5b + -38 = 6(8b + 3) + 3b Reorder the terms: -38 + 5b = 6(8b + 3) + 3b Reorder the terms: -38 + 5b = 6(3 + 8b) + 3b -38 + 5b = (3 * 6 + 8b * 6) + 3b -38 + 5b = (18 + 48b) + 3b Combine like terms: 48b + 3b = 51b -38 + 5b = 18 + 51b Solving -38 + 5b = 18 + 51b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-51b' to each side of the equation. -38 + 5b + -51b = 18 + 51b + -51b Combine like terms: 5b + -51b = -46b -38 + -46b = 18 + 51b + -51b Combine like terms: 51b + -51b = 0 -38 + -46b = 18 + 0 -38 + -46b = 18 Add '38' to each side of the equation. -38 + 38 + -46b = 18 + 38 Combine like terms: -38 + 38 = 0 0 + -46b = 18 + 38 -46b = 18 + 38 Combine like terms: 18 + 38 = 56 -46b = 56 Divide each side by '-46'. b = -1.217391304 Simplifying b = -1.217391304
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