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Simplifying 7b + -13 = 3(3 + 6b) Reorder the terms: -13 + 7b = 3(3 + 6b) -13 + 7b = (3 * 3 + 6b * 3) -13 + 7b = (9 + 18b) Solving -13 + 7b = 9 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -13 + 7b + -18b = 9 + 18b + -18b Combine like terms: 7b + -18b = -11b -13 + -11b = 9 + 18b + -18b Combine like terms: 18b + -18b = 0 -13 + -11b = 9 + 0 -13 + -11b = 9 Add '13' to each side of the equation. -13 + 13 + -11b = 9 + 13 Combine like terms: -13 + 13 = 0 0 + -11b = 9 + 13 -11b = 9 + 13 Combine like terms: 9 + 13 = 22 -11b = 22 Divide each side by '-11'. b = -2 Simplifying b = -2
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