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Simplifying 5b + -3(b + -6) = 3 + 3b Reorder the terms: 5b + -3(-6 + b) = 3 + 3b 5b + (-6 * -3 + b * -3) = 3 + 3b 5b + (18 + -3b) = 3 + 3b Reorder the terms: 18 + 5b + -3b = 3 + 3b Combine like terms: 5b + -3b = 2b 18 + 2b = 3 + 3b Solving 18 + 2b = 3 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 18 + 2b + -3b = 3 + 3b + -3b Combine like terms: 2b + -3b = -1b 18 + -1b = 3 + 3b + -3b Combine like terms: 3b + -3b = 0 18 + -1b = 3 + 0 18 + -1b = 3 Add '-18' to each side of the equation. 18 + -18 + -1b = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -1b = 3 + -18 -1b = 3 + -18 Combine like terms: 3 + -18 = -15 -1b = -15 Divide each side by '-1'. b = 15 Simplifying b = 15
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