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Simplifying -3(4b + 7) = -12 + 3(b + -3) Reorder the terms: -3(7 + 4b) = -12 + 3(b + -3) (7 * -3 + 4b * -3) = -12 + 3(b + -3) (-21 + -12b) = -12 + 3(b + -3) Reorder the terms: -21 + -12b = -12 + 3(-3 + b) -21 + -12b = -12 + (-3 * 3 + b * 3) -21 + -12b = -12 + (-9 + 3b) Combine like terms: -12 + -9 = -21 -21 + -12b = -21 + 3b Add '21' to each side of the equation. -21 + 21 + -12b = -21 + 21 + 3b Combine like terms: -21 + 21 = 0 0 + -12b = -21 + 21 + 3b -12b = -21 + 21 + 3b Combine like terms: -21 + 21 = 0 -12b = 0 + 3b -12b = 3b Solving -12b = 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -12b + -3b = 3b + -3b Combine like terms: -12b + -3b = -15b -15b = 3b + -3b Combine like terms: 3b + -3b = 0 -15b = 0 Divide each side by '-15'. b = 0 Simplifying b = 0
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