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Simplifying 6b + 6(b + -3) = 15 + b Reorder the terms: 6b + 6(-3 + b) = 15 + b 6b + (-3 * 6 + b * 6) = 15 + b 6b + (-18 + 6b) = 15 + b Reorder the terms: -18 + 6b + 6b = 15 + b Combine like terms: 6b + 6b = 12b -18 + 12b = 15 + b Solving -18 + 12b = 15 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -18 + 12b + -1b = 15 + b + -1b Combine like terms: 12b + -1b = 11b -18 + 11b = 15 + b + -1b Combine like terms: b + -1b = 0 -18 + 11b = 15 + 0 -18 + 11b = 15 Add '18' to each side of the equation. -18 + 18 + 11b = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 11b = 15 + 18 11b = 15 + 18 Combine like terms: 15 + 18 = 33 11b = 33 Divide each side by '11'. b = 3 Simplifying b = 3
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