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Simplifying 10(6b + 10) = 7(10b + -4) Reorder the terms: 10(10 + 6b) = 7(10b + -4) (10 * 10 + 6b * 10) = 7(10b + -4) (100 + 60b) = 7(10b + -4) Reorder the terms: 100 + 60b = 7(-4 + 10b) 100 + 60b = (-4 * 7 + 10b * 7) 100 + 60b = (-28 + 70b) Solving 100 + 60b = -28 + 70b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-70b' to each side of the equation. 100 + 60b + -70b = -28 + 70b + -70b Combine like terms: 60b + -70b = -10b 100 + -10b = -28 + 70b + -70b Combine like terms: 70b + -70b = 0 100 + -10b = -28 + 0 100 + -10b = -28 Add '-100' to each side of the equation. 100 + -100 + -10b = -28 + -100 Combine like terms: 100 + -100 = 0 0 + -10b = -28 + -100 -10b = -28 + -100 Combine like terms: -28 + -100 = -128 -10b = -128 Divide each side by '-10'. b = 12.8 Simplifying b = 12.8
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