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Simplifying -6(4b + 7) = 6b + -6(2b + 4) Reorder the terms: -6(7 + 4b) = 6b + -6(2b + 4) (7 * -6 + 4b * -6) = 6b + -6(2b + 4) (-42 + -24b) = 6b + -6(2b + 4) Reorder the terms: -42 + -24b = 6b + -6(4 + 2b) -42 + -24b = 6b + (4 * -6 + 2b * -6) -42 + -24b = 6b + (-24 + -12b) Reorder the terms: -42 + -24b = -24 + 6b + -12b Combine like terms: 6b + -12b = -6b -42 + -24b = -24 + -6b Solving -42 + -24b = -24 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -42 + -24b + 6b = -24 + -6b + 6b Combine like terms: -24b + 6b = -18b -42 + -18b = -24 + -6b + 6b Combine like terms: -6b + 6b = 0 -42 + -18b = -24 + 0 -42 + -18b = -24 Add '42' to each side of the equation. -42 + 42 + -18b = -24 + 42 Combine like terms: -42 + 42 = 0 0 + -18b = -24 + 42 -18b = -24 + 42 Combine like terms: -24 + 42 = 18 -18b = 18 Divide each side by '-18'. b = -1 Simplifying b = -1
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