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Simplifying -6 + 3(b + -5) = 8(-4 + -7) Reorder the terms: -6 + 3(-5 + b) = 8(-4 + -7) -6 + (-5 * 3 + b * 3) = 8(-4 + -7) -6 + (-15 + 3b) = 8(-4 + -7) Combine like terms: -6 + -15 = -21 -21 + 3b = 8(-4 + -7) Combine like terms: -4 + -7 = -11 -21 + 3b = 8(-11) Multiply 8 * -11 -21 + 3b = -88 Solving -21 + 3b = -88 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 3b = -88 + 21 Combine like terms: -21 + 21 = 0 0 + 3b = -88 + 21 3b = -88 + 21 Combine like terms: -88 + 21 = -67 3b = -67 Divide each side by '3'. b = -22.33333333 Simplifying b = -22.33333333
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