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Simplifying -6(2b + 2) + (13b + -7) = 0 Reorder the terms: -6(2 + 2b) + (13b + -7) = 0 (2 * -6 + 2b * -6) + (13b + -7) = 0 (-12 + -12b) + (13b + -7) = 0 Reorder the terms: -12 + -12b + (-7 + 13b) = 0 Remove parenthesis around (-7 + 13b) -12 + -12b + -7 + 13b = 0 Reorder the terms: -12 + -7 + -12b + 13b = 0 Combine like terms: -12 + -7 = -19 -19 + -12b + 13b = 0 Combine like terms: -12b + 13b = 1b -19 + 1b = 0 Solving -19 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1b = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1b = 0 + 19 1b = 0 + 19 Combine like terms: 0 + 19 = 19 1b = 19 Divide each side by '1'. b = 19 Simplifying b = 19
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