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Simplifying 2b + -6 = 2(3b + 1) Reorder the terms: -6 + 2b = 2(3b + 1) Reorder the terms: -6 + 2b = 2(1 + 3b) -6 + 2b = (1 * 2 + 3b * 2) -6 + 2b = (2 + 6b) Solving -6 + 2b = 2 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -6 + 2b + -6b = 2 + 6b + -6b Combine like terms: 2b + -6b = -4b -6 + -4b = 2 + 6b + -6b Combine like terms: 6b + -6b = 0 -6 + -4b = 2 + 0 -6 + -4b = 2 Add '6' to each side of the equation. -6 + 6 + -4b = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -4b = 2 + 6 -4b = 2 + 6 Combine like terms: 2 + 6 = 8 -4b = 8 Divide each side by '-4'. b = -2 Simplifying b = -2
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