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Simplifying 8(3b + -8) = 10b + 48 Reorder the terms: 8(-8 + 3b) = 10b + 48 (-8 * 8 + 3b * 8) = 10b + 48 (-64 + 24b) = 10b + 48 Reorder the terms: -64 + 24b = 48 + 10b Solving -64 + 24b = 48 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -64 + 24b + -10b = 48 + 10b + -10b Combine like terms: 24b + -10b = 14b -64 + 14b = 48 + 10b + -10b Combine like terms: 10b + -10b = 0 -64 + 14b = 48 + 0 -64 + 14b = 48 Add '64' to each side of the equation. -64 + 64 + 14b = 48 + 64 Combine like terms: -64 + 64 = 0 0 + 14b = 48 + 64 14b = 48 + 64 Combine like terms: 48 + 64 = 112 14b = 112 Divide each side by '14'. b = 8 Simplifying b = 8
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