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Simplifying 12b + -14 = -7 + -7(1 + -4b) Reorder the terms: -14 + 12b = -7 + -7(1 + -4b) -14 + 12b = -7 + (1 * -7 + -4b * -7) -14 + 12b = -7 + (-7 + 28b) Combine like terms: -7 + -7 = -14 -14 + 12b = -14 + 28b Add '14' to each side of the equation. -14 + 14 + 12b = -14 + 14 + 28b Combine like terms: -14 + 14 = 0 0 + 12b = -14 + 14 + 28b 12b = -14 + 14 + 28b Combine like terms: -14 + 14 = 0 12b = 0 + 28b 12b = 28b Solving 12b = 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. 12b + -28b = 28b + -28b Combine like terms: 12b + -28b = -16b -16b = 28b + -28b Combine like terms: 28b + -28b = 0 -16b = 0 Divide each side by '-16'. b = 0 Simplifying b = 0
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