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Simplifying 246 = 7(-7 + -6b) + 1 246 = (-7 * 7 + -6b * 7) + 1 246 = (-49 + -42b) + 1 Reorder the terms: 246 = -49 + 1 + -42b Combine like terms: -49 + 1 = -48 246 = -48 + -42b Solving 246 = -48 + -42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42b' to each side of the equation. 246 + 42b = -48 + -42b + 42b Combine like terms: -42b + 42b = 0 246 + 42b = -48 + 0 246 + 42b = -48 Add '-246' to each side of the equation. 246 + -246 + 42b = -48 + -246 Combine like terms: 246 + -246 = 0 0 + 42b = -48 + -246 42b = -48 + -246 Combine like terms: -48 + -246 = -294 42b = -294 Divide each side by '42'. b = -7 Simplifying b = -7
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