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Simplifying 3b + -38 = -8(3b + -2) Reorder the terms: -38 + 3b = -8(3b + -2) Reorder the terms: -38 + 3b = -8(-2 + 3b) -38 + 3b = (-2 * -8 + 3b * -8) -38 + 3b = (16 + -24b) Solving -38 + 3b = 16 + -24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24b' to each side of the equation. -38 + 3b + 24b = 16 + -24b + 24b Combine like terms: 3b + 24b = 27b -38 + 27b = 16 + -24b + 24b Combine like terms: -24b + 24b = 0 -38 + 27b = 16 + 0 -38 + 27b = 16 Add '38' to each side of the equation. -38 + 38 + 27b = 16 + 38 Combine like terms: -38 + 38 = 0 0 + 27b = 16 + 38 27b = 16 + 38 Combine like terms: 16 + 38 = 54 27b = 54 Divide each side by '27'. b = 2 Simplifying b = 2
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