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Simplifying 6(-4b + 7) + -3(-2b + 2) = 0 Reorder the terms: 6(7 + -4b) + -3(-2b + 2) = 0 (7 * 6 + -4b * 6) + -3(-2b + 2) = 0 (42 + -24b) + -3(-2b + 2) = 0 Reorder the terms: 42 + -24b + -3(2 + -2b) = 0 42 + -24b + (2 * -3 + -2b * -3) = 0 42 + -24b + (-6 + 6b) = 0 Reorder the terms: 42 + -6 + -24b + 6b = 0 Combine like terms: 42 + -6 = 36 36 + -24b + 6b = 0 Combine like terms: -24b + 6b = -18b 36 + -18b = 0 Solving 36 + -18b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -18b = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -18b = 0 + -36 -18b = 0 + -36 Combine like terms: 0 + -36 = -36 -18b = -36 Divide each side by '-18'. b = 2 Simplifying b = 2
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