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Simplifying 6(b + -3) = 4(b + -4) Reorder the terms: 6(-3 + b) = 4(b + -4) (-3 * 6 + b * 6) = 4(b + -4) (-18 + 6b) = 4(b + -4) Reorder the terms: -18 + 6b = 4(-4 + b) -18 + 6b = (-4 * 4 + b * 4) -18 + 6b = (-16 + 4b) Solving -18 + 6b = -16 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -18 + 6b + -4b = -16 + 4b + -4b Combine like terms: 6b + -4b = 2b -18 + 2b = -16 + 4b + -4b Combine like terms: 4b + -4b = 0 -18 + 2b = -16 + 0 -18 + 2b = -16 Add '18' to each side of the equation. -18 + 18 + 2b = -16 + 18 Combine like terms: -18 + 18 = 0 0 + 2b = -16 + 18 2b = -16 + 18 Combine like terms: -16 + 18 = 2 2b = 2 Divide each side by '2'. b = 1 Simplifying b = 1
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