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Simplifying 3(b + -6) = 2(b + -4) Reorder the terms: 3(-6 + b) = 2(b + -4) (-6 * 3 + b * 3) = 2(b + -4) (-18 + 3b) = 2(b + -4) Reorder the terms: -18 + 3b = 2(-4 + b) -18 + 3b = (-4 * 2 + b * 2) -18 + 3b = (-8 + 2b) Solving -18 + 3b = -8 + 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. -18 + 3b + -2b = -8 + 2b + -2b Combine like terms: 3b + -2b = 1b -18 + 1b = -8 + 2b + -2b Combine like terms: 2b + -2b = 0 -18 + 1b = -8 + 0 -18 + 1b = -8 Add '18' to each side of the equation. -18 + 18 + 1b = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = -8 + 18 1b = -8 + 18 Combine like terms: -8 + 18 = 10 1b = 10 Divide each side by '1'. b = 10 Simplifying b = 10
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