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Simplifying -2(3b + 3) = 6(2b + 5) Reorder the terms: -2(3 + 3b) = 6(2b + 5) (3 * -2 + 3b * -2) = 6(2b + 5) (-6 + -6b) = 6(2b + 5) Reorder the terms: -6 + -6b = 6(5 + 2b) -6 + -6b = (5 * 6 + 2b * 6) -6 + -6b = (30 + 12b) Solving -6 + -6b = 30 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -6 + -6b + -12b = 30 + 12b + -12b Combine like terms: -6b + -12b = -18b -6 + -18b = 30 + 12b + -12b Combine like terms: 12b + -12b = 0 -6 + -18b = 30 + 0 -6 + -18b = 30 Add '6' to each side of the equation. -6 + 6 + -18b = 30 + 6 Combine like terms: -6 + 6 = 0 0 + -18b = 30 + 6 -18b = 30 + 6 Combine like terms: 30 + 6 = 36 -18b = 36 Divide each side by '-18'. b = -2 Simplifying b = -2
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