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Simplifying 12(-2b + -12) = -6(-3b + 10) Reorder the terms: 12(-12 + -2b) = -6(-3b + 10) (-12 * 12 + -2b * 12) = -6(-3b + 10) (-144 + -24b) = -6(-3b + 10) Reorder the terms: -144 + -24b = -6(10 + -3b) -144 + -24b = (10 * -6 + -3b * -6) -144 + -24b = (-60 + 18b) Solving -144 + -24b = -60 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -144 + -24b + -18b = -60 + 18b + -18b Combine like terms: -24b + -18b = -42b -144 + -42b = -60 + 18b + -18b Combine like terms: 18b + -18b = 0 -144 + -42b = -60 + 0 -144 + -42b = -60 Add '144' to each side of the equation. -144 + 144 + -42b = -60 + 144 Combine like terms: -144 + 144 = 0 0 + -42b = -60 + 144 -42b = -60 + 144 Combine like terms: -60 + 144 = 84 -42b = 84 Divide each side by '-42'. b = -2 Simplifying b = -2
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