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Simplifying -5(2 + 6b) = -2b + -38 (2 * -5 + 6b * -5) = -2b + -38 (-10 + -30b) = -2b + -38 Reorder the terms: -10 + -30b = -38 + -2b Solving -10 + -30b = -38 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -10 + -30b + 2b = -38 + -2b + 2b Combine like terms: -30b + 2b = -28b -10 + -28b = -38 + -2b + 2b Combine like terms: -2b + 2b = 0 -10 + -28b = -38 + 0 -10 + -28b = -38 Add '10' to each side of the equation. -10 + 10 + -28b = -38 + 10 Combine like terms: -10 + 10 = 0 0 + -28b = -38 + 10 -28b = -38 + 10 Combine like terms: -38 + 10 = -28 -28b = -28 Divide each side by '-28'. b = 1 Simplifying b = 1
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