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Simplifying -8(6b + -6) = 3 + -3b Reorder the terms: -8(-6 + 6b) = 3 + -3b (-6 * -8 + 6b * -8) = 3 + -3b (48 + -48b) = 3 + -3b Solving 48 + -48b = 3 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 48 + -48b + 3b = 3 + -3b + 3b Combine like terms: -48b + 3b = -45b 48 + -45b = 3 + -3b + 3b Combine like terms: -3b + 3b = 0 48 + -45b = 3 + 0 48 + -45b = 3 Add '-48' to each side of the equation. 48 + -48 + -45b = 3 + -48 Combine like terms: 48 + -48 = 0 0 + -45b = 3 + -48 -45b = 3 + -48 Combine like terms: 3 + -48 = -45 -45b = -45 Divide each side by '-45'. b = 1 Simplifying b = 1
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