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Simplifying 3b + -2(b + 3) = 4b + 6 Reorder the terms: 3b + -2(3 + b) = 4b + 6 3b + (3 * -2 + b * -2) = 4b + 6 3b + (-6 + -2b) = 4b + 6 Reorder the terms: -6 + 3b + -2b = 4b + 6 Combine like terms: 3b + -2b = 1b -6 + 1b = 4b + 6 Reorder the terms: -6 + 1b = 6 + 4b Solving -6 + 1b = 6 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -6 + 1b + -4b = 6 + 4b + -4b Combine like terms: 1b + -4b = -3b -6 + -3b = 6 + 4b + -4b Combine like terms: 4b + -4b = 0 -6 + -3b = 6 + 0 -6 + -3b = 6 Add '6' to each side of the equation. -6 + 6 + -3b = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -3b = 6 + 6 -3b = 6 + 6 Combine like terms: 6 + 6 = 12 -3b = 12 Divide each side by '-3'. b = -4 Simplifying b = -4
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