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Simplifying 6(b + -3) = -3(-6b + -2) Reorder the terms: 6(-3 + b) = -3(-6b + -2) (-3 * 6 + b * 6) = -3(-6b + -2) (-18 + 6b) = -3(-6b + -2) Reorder the terms: -18 + 6b = -3(-2 + -6b) -18 + 6b = (-2 * -3 + -6b * -3) -18 + 6b = (6 + 18b) Solving -18 + 6b = 6 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -18 + 6b + -18b = 6 + 18b + -18b Combine like terms: 6b + -18b = -12b -18 + -12b = 6 + 18b + -18b Combine like terms: 18b + -18b = 0 -18 + -12b = 6 + 0 -18 + -12b = 6 Add '18' to each side of the equation. -18 + 18 + -12b = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -12b = 6 + 18 -12b = 6 + 18 Combine like terms: 6 + 18 = 24 -12b = 24 Divide each side by '-12'. b = -2 Simplifying b = -2
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