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Simplifying 7(6 + -6b) + -13 = -35 + -10b (6 * 7 + -6b * 7) + -13 = -35 + -10b (42 + -42b) + -13 = -35 + -10b Reorder the terms: 42 + -13 + -42b = -35 + -10b Combine like terms: 42 + -13 = 29 29 + -42b = -35 + -10b Solving 29 + -42b = -35 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 29 + -42b + 10b = -35 + -10b + 10b Combine like terms: -42b + 10b = -32b 29 + -32b = -35 + -10b + 10b Combine like terms: -10b + 10b = 0 29 + -32b = -35 + 0 29 + -32b = -35 Add '-29' to each side of the equation. 29 + -29 + -32b = -35 + -29 Combine like terms: 29 + -29 = 0 0 + -32b = -35 + -29 -32b = -35 + -29 Combine like terms: -35 + -29 = -64 -32b = -64 Divide each side by '-32'. b = 2 Simplifying b = 2
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