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Simplifying -36 + 4(-3 + -7b) = -6(2 + b) + -2b -36 + (-3 * 4 + -7b * 4) = -6(2 + b) + -2b -36 + (-12 + -28b) = -6(2 + b) + -2b Combine like terms: -36 + -12 = -48 -48 + -28b = -6(2 + b) + -2b -48 + -28b = (2 * -6 + b * -6) + -2b -48 + -28b = (-12 + -6b) + -2b Combine like terms: -6b + -2b = -8b -48 + -28b = -12 + -8b Solving -48 + -28b = -12 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -48 + -28b + 8b = -12 + -8b + 8b Combine like terms: -28b + 8b = -20b -48 + -20b = -12 + -8b + 8b Combine like terms: -8b + 8b = 0 -48 + -20b = -12 + 0 -48 + -20b = -12 Add '48' to each side of the equation. -48 + 48 + -20b = -12 + 48 Combine like terms: -48 + 48 = 0 0 + -20b = -12 + 48 -20b = -12 + 48 Combine like terms: -12 + 48 = 36 -20b = 36 Divide each side by '-20'. b = -1.8 Simplifying b = -1.8
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