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Simplifying 10(b + -10) = 6(b + -8) Reorder the terms: 10(-10 + b) = 6(b + -8) (-10 * 10 + b * 10) = 6(b + -8) (-100 + 10b) = 6(b + -8) Reorder the terms: -100 + 10b = 6(-8 + b) -100 + 10b = (-8 * 6 + b * 6) -100 + 10b = (-48 + 6b) Solving -100 + 10b = -48 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -100 + 10b + -6b = -48 + 6b + -6b Combine like terms: 10b + -6b = 4b -100 + 4b = -48 + 6b + -6b Combine like terms: 6b + -6b = 0 -100 + 4b = -48 + 0 -100 + 4b = -48 Add '100' to each side of the equation. -100 + 100 + 4b = -48 + 100 Combine like terms: -100 + 100 = 0 0 + 4b = -48 + 100 4b = -48 + 100 Combine like terms: -48 + 100 = 52 4b = 52 Divide each side by '4'. b = 13 Simplifying b = 13
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