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Simplifying -5(1 + 2b) = -7b + 7 (1 * -5 + 2b * -5) = -7b + 7 (-5 + -10b) = -7b + 7 Reorder the terms: -5 + -10b = 7 + -7b Solving -5 + -10b = 7 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -5 + -10b + 7b = 7 + -7b + 7b Combine like terms: -10b + 7b = -3b -5 + -3b = 7 + -7b + 7b Combine like terms: -7b + 7b = 0 -5 + -3b = 7 + 0 -5 + -3b = 7 Add '5' to each side of the equation. -5 + 5 + -3b = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -3b = 7 + 5 -3b = 7 + 5 Combine like terms: 7 + 5 = 12 -3b = 12 Divide each side by '-3'. b = -4 Simplifying b = -4
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