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Simplifying -7(3b + 1) + (22b + -6) = 0 Reorder the terms: -7(1 + 3b) + (22b + -6) = 0 (1 * -7 + 3b * -7) + (22b + -6) = 0 (-7 + -21b) + (22b + -6) = 0 Reorder the terms: -7 + -21b + (-6 + 22b) = 0 Remove parenthesis around (-6 + 22b) -7 + -21b + -6 + 22b = 0 Reorder the terms: -7 + -6 + -21b + 22b = 0 Combine like terms: -7 + -6 = -13 -13 + -21b + 22b = 0 Combine like terms: -21b + 22b = 1b -13 + 1b = 0 Solving -13 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = 0 + 13 1b = 0 + 13 Combine like terms: 0 + 13 = 13 1b = 13 Divide each side by '1'. b = 13 Simplifying b = 13
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