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Simplifying -24 + -2b = 6b + 8(-3b + -1) Reorder the terms: -24 + -2b = 6b + 8(-1 + -3b) -24 + -2b = 6b + (-1 * 8 + -3b * 8) -24 + -2b = 6b + (-8 + -24b) Reorder the terms: -24 + -2b = -8 + 6b + -24b Combine like terms: 6b + -24b = -18b -24 + -2b = -8 + -18b Solving -24 + -2b = -8 + -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. -24 + -2b + 18b = -8 + -18b + 18b Combine like terms: -2b + 18b = 16b -24 + 16b = -8 + -18b + 18b Combine like terms: -18b + 18b = 0 -24 + 16b = -8 + 0 -24 + 16b = -8 Add '24' to each side of the equation. -24 + 24 + 16b = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 16b = -8 + 24 16b = -8 + 24 Combine like terms: -8 + 24 = 16 16b = 16 Divide each side by '16'. b = 1 Simplifying b = 1
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