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Simplifying (13b + -3) + -6(2b + 2) = -3 Reorder the terms: (-3 + 13b) + -6(2b + 2) = -3 Remove parenthesis around (-3 + 13b) -3 + 13b + -6(2b + 2) = -3 Reorder the terms: -3 + 13b + -6(2 + 2b) = -3 -3 + 13b + (2 * -6 + 2b * -6) = -3 -3 + 13b + (-12 + -12b) = -3 Reorder the terms: -3 + -12 + 13b + -12b = -3 Combine like terms: -3 + -12 = -15 -15 + 13b + -12b = -3 Combine like terms: 13b + -12b = 1b -15 + 1b = -3 Solving -15 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = -3 + 15 1b = -3 + 15 Combine like terms: -3 + 15 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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