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Simplifying -303 = -2 + -7(1 + 6b) -303 = -2 + (1 * -7 + 6b * -7) -303 = -2 + (-7 + -42b) Combine like terms: -2 + -7 = -9 -303 = -9 + -42b Solving -303 = -9 + -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. -303 + 42b = -9 + -42b + 42b Combine like terms: -42b + 42b = 0 -303 + 42b = -9 + 0 -303 + 42b = -9 Add '303' to each side of the equation. -303 + 303 + 42b = -9 + 303 Combine like terms: -303 + 303 = 0 0 + 42b = -9 + 303 42b = -9 + 303 Combine like terms: -9 + 303 = 294 42b = 294 Divide each side by '42'. b = 7 Simplifying b = 7
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