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Simplifying 5 + -3(4 + -2b) = 4(x + 2) 5 + (4 * -3 + -2b * -3) = 4(x + 2) 5 + (-12 + 6b) = 4(x + 2) Combine like terms: 5 + -12 = -7 -7 + 6b = 4(x + 2) Reorder the terms: -7 + 6b = 4(2 + x) -7 + 6b = (2 * 4 + x * 4) -7 + 6b = (8 + 4x) Solving -7 + 6b = 8 + 4x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6b = 8 + 7 + 4x Combine like terms: -7 + 7 = 0 0 + 6b = 8 + 7 + 4x 6b = 8 + 7 + 4x Combine like terms: 8 + 7 = 15 6b = 15 + 4x Divide each side by '6'. b = 2.5 + 0.6666666667x Simplifying b = 2.5 + 0.6666666667x
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