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Simplifying -31 = 8(3b + -4) + -1(8b + -1) Reorder the terms: -31 = 8(-4 + 3b) + -1(8b + -1) -31 = (-4 * 8 + 3b * 8) + -1(8b + -1) -31 = (-32 + 24b) + -1(8b + -1) Reorder the terms: -31 = -32 + 24b + -1(-1 + 8b) -31 = -32 + 24b + (-1 * -1 + 8b * -1) -31 = -32 + 24b + (1 + -8b) Reorder the terms: -31 = -32 + 1 + 24b + -8b Combine like terms: -32 + 1 = -31 -31 = -31 + 24b + -8b Combine like terms: 24b + -8b = 16b -31 = -31 + 16b Add '31' to each side of the equation. -31 + 31 = -31 + 31 + 16b Combine like terms: -31 + 31 = 0 0 = -31 + 31 + 16b Combine like terms: -31 + 31 = 0 0 = 0 + 16b 0 = 16b Solving 0 = 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 0 + -16b = 16b + -16b Remove the zero: -16b = 16b + -16b Combine like terms: 16b + -16b = 0 -16b = 0 Divide each side by '-16'. b = 0 Simplifying b = 0
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