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Simplifying 2(b + -3) + -3 = 3(b + -6) Reorder the terms: 2(-3 + b) + -3 = 3(b + -6) (-3 * 2 + b * 2) + -3 = 3(b + -6) (-6 + 2b) + -3 = 3(b + -6) Reorder the terms: -6 + -3 + 2b = 3(b + -6) Combine like terms: -6 + -3 = -9 -9 + 2b = 3(b + -6) Reorder the terms: -9 + 2b = 3(-6 + b) -9 + 2b = (-6 * 3 + b * 3) -9 + 2b = (-18 + 3b) Solving -9 + 2b = -18 + 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. -9 + 2b + -3b = -18 + 3b + -3b Combine like terms: 2b + -3b = -1b -9 + -1b = -18 + 3b + -3b Combine like terms: 3b + -3b = 0 -9 + -1b = -18 + 0 -9 + -1b = -18 Add '9' to each side of the equation. -9 + 9 + -1b = -18 + 9 Combine like terms: -9 + 9 = 0 0 + -1b = -18 + 9 -1b = -18 + 9 Combine like terms: -18 + 9 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9
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