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Simplifying -1 + -3(7b + 7) = (11 + 10b) Reorder the terms: -1 + -3(7 + 7b) = (11 + 10b) -1 + (7 * -3 + 7b * -3) = (11 + 10b) -1 + (-21 + -21b) = (11 + 10b) Combine like terms: -1 + -21 = -22 -22 + -21b = (11 + 10b) Remove parenthesis around (11 + 10b) -22 + -21b = 11 + 10b Solving -22 + -21b = 11 + 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. -22 + -21b + -10b = 11 + 10b + -10b Combine like terms: -21b + -10b = -31b -22 + -31b = 11 + 10b + -10b Combine like terms: 10b + -10b = 0 -22 + -31b = 11 + 0 -22 + -31b = 11 Add '22' to each side of the equation. -22 + 22 + -31b = 11 + 22 Combine like terms: -22 + 22 = 0 0 + -31b = 11 + 22 -31b = 11 + 22 Combine like terms: 11 + 22 = 33 -31b = 33 Divide each side by '-31'. b = -1.064516129 Simplifying b = -1.064516129
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