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Simplifying 7(-2b + 6) = -12 + 4b Reorder the terms: 7(6 + -2b) = -12 + 4b (6 * 7 + -2b * 7) = -12 + 4b (42 + -14b) = -12 + 4b Solving 42 + -14b = -12 + 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. 42 + -14b + -4b = -12 + 4b + -4b Combine like terms: -14b + -4b = -18b 42 + -18b = -12 + 4b + -4b Combine like terms: 4b + -4b = 0 42 + -18b = -12 + 0 42 + -18b = -12 Add '-42' to each side of the equation. 42 + -42 + -18b = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -18b = -12 + -42 -18b = -12 + -42 Combine like terms: -12 + -42 = -54 -18b = -54 Divide each side by '-18'. b = 3 Simplifying b = 3
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