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Simplifying -31 + 4b = -7(-1b + 7) Reorder the terms: -31 + 4b = -7(7 + -1b) -31 + 4b = (7 * -7 + -1b * -7) -31 + 4b = (-49 + 7b) Solving -31 + 4b = -49 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -31 + 4b + -7b = -49 + 7b + -7b Combine like terms: 4b + -7b = -3b -31 + -3b = -49 + 7b + -7b Combine like terms: 7b + -7b = 0 -31 + -3b = -49 + 0 -31 + -3b = -49 Add '31' to each side of the equation. -31 + 31 + -3b = -49 + 31 Combine like terms: -31 + 31 = 0 0 + -3b = -49 + 31 -3b = -49 + 31 Combine like terms: -49 + 31 = -18 -3b = -18 Divide each side by '-3'. b = 6 Simplifying b = 6
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