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Simplifying -10(1 + 4b) + 12 = (-7b + -8) + 6 (1 * -10 + 4b * -10) + 12 = (-7b + -8) + 6 (-10 + -40b) + 12 = (-7b + -8) + 6 Reorder the terms: -10 + 12 + -40b = (-7b + -8) + 6 Combine like terms: -10 + 12 = 2 2 + -40b = (-7b + -8) + 6 Reorder the terms: 2 + -40b = (-8 + -7b) + 6 Remove parenthesis around (-8 + -7b) 2 + -40b = -8 + -7b + 6 Reorder the terms: 2 + -40b = -8 + 6 + -7b Combine like terms: -8 + 6 = -2 2 + -40b = -2 + -7b Solving 2 + -40b = -2 + -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. 2 + -40b + 7b = -2 + -7b + 7b Combine like terms: -40b + 7b = -33b 2 + -33b = -2 + -7b + 7b Combine like terms: -7b + 7b = 0 2 + -33b = -2 + 0 2 + -33b = -2 Add '-2' to each side of the equation. 2 + -2 + -33b = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -33b = -2 + -2 -33b = -2 + -2 Combine like terms: -2 + -2 = -4 -33b = -4 Divide each side by '-33'. b = 0.1212121212 Simplifying b = 0.1212121212
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