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Simplifying -40 + -3b = 7(-1b + -2) + 2 Reorder the terms: -40 + -3b = 7(-2 + -1b) + 2 -40 + -3b = (-2 * 7 + -1b * 7) + 2 -40 + -3b = (-14 + -7b) + 2 Reorder the terms: -40 + -3b = -14 + 2 + -7b Combine like terms: -14 + 2 = -12 -40 + -3b = -12 + -7b Solving -40 + -3b = -12 + -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. -40 + -3b + 7b = -12 + -7b + 7b Combine like terms: -3b + 7b = 4b -40 + 4b = -12 + -7b + 7b Combine like terms: -7b + 7b = 0 -40 + 4b = -12 + 0 -40 + 4b = -12 Add '40' to each side of the equation. -40 + 40 + 4b = -12 + 40 Combine like terms: -40 + 40 = 0 0 + 4b = -12 + 40 4b = -12 + 40 Combine like terms: -12 + 40 = 28 4b = 28 Divide each side by '4'. b = 7 Simplifying b = 7
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