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Simplifying -6(2 + 2b) + 5(b + -5) = 8 (2 * -6 + 2b * -6) + 5(b + -5) = 8 (-12 + -12b) + 5(b + -5) = 8 Reorder the terms: -12 + -12b + 5(-5 + b) = 8 -12 + -12b + (-5 * 5 + b * 5) = 8 -12 + -12b + (-25 + 5b) = 8 Reorder the terms: -12 + -25 + -12b + 5b = 8 Combine like terms: -12 + -25 = -37 -37 + -12b + 5b = 8 Combine like terms: -12b + 5b = -7b -37 + -7b = 8 Solving -37 + -7b = 8 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -7b = 8 + 37 Combine like terms: -37 + 37 = 0 0 + -7b = 8 + 37 -7b = 8 + 37 Combine like terms: 8 + 37 = 45 -7b = 45 Divide each side by '-7'. b = -6.428571429 Simplifying b = -6.428571429
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