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Simplifying 29 + 5b = -3(-2b + -7) Reorder the terms: 29 + 5b = -3(-7 + -2b) 29 + 5b = (-7 * -3 + -2b * -3) 29 + 5b = (21 + 6b) Solving 29 + 5b = 21 + 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. 29 + 5b + -6b = 21 + 6b + -6b Combine like terms: 5b + -6b = -1b 29 + -1b = 21 + 6b + -6b Combine like terms: 6b + -6b = 0 29 + -1b = 21 + 0 29 + -1b = 21 Add '-29' to each side of the equation. 29 + -29 + -1b = 21 + -29 Combine like terms: 29 + -29 = 0 0 + -1b = 21 + -29 -1b = 21 + -29 Combine like terms: 21 + -29 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8
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