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Simplifying 2b + -7 = 2(3b + 1) + -29 Reorder the terms: -7 + 2b = 2(3b + 1) + -29 Reorder the terms: -7 + 2b = 2(1 + 3b) + -29 -7 + 2b = (1 * 2 + 3b * 2) + -29 -7 + 2b = (2 + 6b) + -29 Reorder the terms: -7 + 2b = 2 + -29 + 6b Combine like terms: 2 + -29 = -27 -7 + 2b = -27 + 6b Solving -7 + 2b = -27 + 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. -7 + 2b + -6b = -27 + 6b + -6b Combine like terms: 2b + -6b = -4b -7 + -4b = -27 + 6b + -6b Combine like terms: 6b + -6b = 0 -7 + -4b = -27 + 0 -7 + -4b = -27 Add '7' to each side of the equation. -7 + 7 + -4b = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -4b = -27 + 7 -4b = -27 + 7 Combine like terms: -27 + 7 = -20 -4b = -20 Divide each side by '-4'. b = 5 Simplifying b = 5
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