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Simplifying 2(b + -5) + 3(-2) = 8 + 7(b + -4) Reorder the terms: 2(-5 + b) + 3(-2) = 8 + 7(b + -4) (-5 * 2 + b * 2) + 3(-2) = 8 + 7(b + -4) (-10 + 2b) + 3(-2) = 8 + 7(b + -4) Multiply 3 * -2 -10 + 2b + -6 = 8 + 7(b + -4) Reorder the terms: -10 + -6 + 2b = 8 + 7(b + -4) Combine like terms: -10 + -6 = -16 -16 + 2b = 8 + 7(b + -4) Reorder the terms: -16 + 2b = 8 + 7(-4 + b) -16 + 2b = 8 + (-4 * 7 + b * 7) -16 + 2b = 8 + (-28 + 7b) Combine like terms: 8 + -28 = -20 -16 + 2b = -20 + 7b Solving -16 + 2b = -20 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -16 + 2b + -7b = -20 + 7b + -7b Combine like terms: 2b + -7b = -5b -16 + -5b = -20 + 7b + -7b Combine like terms: 7b + -7b = 0 -16 + -5b = -20 + 0 -16 + -5b = -20 Add '16' to each side of the equation. -16 + 16 + -5b = -20 + 16 Combine like terms: -16 + 16 = 0 0 + -5b = -20 + 16 -5b = -20 + 16 Combine like terms: -20 + 16 = -4 -5b = -4 Divide each side by '-5'. b = 0.8 Simplifying b = 0.8
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