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Simplifying -31 = -4(11 + b) + -19 -31 = (11 * -4 + b * -4) + -19 -31 = (-44 + -4b) + -19 Reorder the terms: -31 = -44 + -19 + -4b Combine like terms: -44 + -19 = -63 -31 = -63 + -4b Solving -31 = -63 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -31 + 4b = -63 + -4b + 4b Combine like terms: -4b + 4b = 0 -31 + 4b = -63 + 0 -31 + 4b = -63 Add '31' to each side of the equation. -31 + 31 + 4b = -63 + 31 Combine like terms: -31 + 31 = 0 0 + 4b = -63 + 31 4b = -63 + 31 Combine like terms: -63 + 31 = -32 4b = -32 Divide each side by '4'. b = -8 Simplifying b = -8
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