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Simplifying -3(2b + 4) = 4(b + 7) Reorder the terms: -3(4 + 2b) = 4(b + 7) (4 * -3 + 2b * -3) = 4(b + 7) (-12 + -6b) = 4(b + 7) Reorder the terms: -12 + -6b = 4(7 + b) -12 + -6b = (7 * 4 + b * 4) -12 + -6b = (28 + 4b) Solving -12 + -6b = 28 + 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. -12 + -6b + -4b = 28 + 4b + -4b Combine like terms: -6b + -4b = -10b -12 + -10b = 28 + 4b + -4b Combine like terms: 4b + -4b = 0 -12 + -10b = 28 + 0 -12 + -10b = 28 Add '12' to each side of the equation. -12 + 12 + -10b = 28 + 12 Combine like terms: -12 + 12 = 0 0 + -10b = 28 + 12 -10b = 28 + 12 Combine like terms: 28 + 12 = 40 -10b = 40 Divide each side by '-10'. b = -4 Simplifying b = -4
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