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Simplifying -6(3x + -8) = -18x + 2b Reorder the terms: -6(-8 + 3x) = -18x + 2b (-8 * -6 + 3x * -6) = -18x + 2b (48 + -18x) = -18x + 2b Reorder the terms: 48 + -18x = 2b + -18x Add '18x' to each side of the equation. 48 + -18x + 18x = 2b + -18x + 18x Combine like terms: -18x + 18x = 0 48 + 0 = 2b + -18x + 18x 48 = 2b + -18x + 18x Combine like terms: -18x + 18x = 0 48 = 2b + 0 48 = 2b Solving 48 = 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. 48 + -2b = 2b + -2b Combine like terms: 2b + -2b = 0 48 + -2b = 0 Add '-48' to each side of the equation. 48 + -48 + -2b = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -2b = 0 + -48 -2b = 0 + -48 Combine like terms: 0 + -48 = -48 -2b = -48 Divide each side by '-2'. b = 24 Simplifying b = 24
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