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Simplifying 5(b + -7) = 2b + -29 Reorder the terms: 5(-7 + b) = 2b + -29 (-7 * 5 + b * 5) = 2b + -29 (-35 + 5b) = 2b + -29 Reorder the terms: -35 + 5b = -29 + 2b Solving -35 + 5b = -29 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -35 + 5b + -2b = -29 + 2b + -2b Combine like terms: 5b + -2b = 3b -35 + 3b = -29 + 2b + -2b Combine like terms: 2b + -2b = 0 -35 + 3b = -29 + 0 -35 + 3b = -29 Add '35' to each side of the equation. -35 + 35 + 3b = -29 + 35 Combine like terms: -35 + 35 = 0 0 + 3b = -29 + 35 3b = -29 + 35 Combine like terms: -29 + 35 = 6 3b = 6 Divide each side by '3'. b = 2 Simplifying b = 2
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