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Simplifying -4(-6b + 3) = -30 + 6b Reorder the terms: -4(3 + -6b) = -30 + 6b (3 * -4 + -6b * -4) = -30 + 6b (-12 + 24b) = -30 + 6b Solving -12 + 24b = -30 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -12 + 24b + -6b = -30 + 6b + -6b Combine like terms: 24b + -6b = 18b -12 + 18b = -30 + 6b + -6b Combine like terms: 6b + -6b = 0 -12 + 18b = -30 + 0 -12 + 18b = -30 Add '12' to each side of the equation. -12 + 12 + 18b = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 18b = -30 + 12 18b = -30 + 12 Combine like terms: -30 + 12 = -18 18b = -18 Divide each side by '18'. b = -1 Simplifying b = -1
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