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Simplifying 4(b + -3) + 2(b + 2) = 2(b + -2) Reorder the terms: 4(-3 + b) + 2(b + 2) = 2(b + -2) (-3 * 4 + b * 4) + 2(b + 2) = 2(b + -2) (-12 + 4b) + 2(b + 2) = 2(b + -2) Reorder the terms: -12 + 4b + 2(2 + b) = 2(b + -2) -12 + 4b + (2 * 2 + b * 2) = 2(b + -2) -12 + 4b + (4 + 2b) = 2(b + -2) Reorder the terms: -12 + 4 + 4b + 2b = 2(b + -2) Combine like terms: -12 + 4 = -8 -8 + 4b + 2b = 2(b + -2) Combine like terms: 4b + 2b = 6b -8 + 6b = 2(b + -2) Reorder the terms: -8 + 6b = 2(-2 + b) -8 + 6b = (-2 * 2 + b * 2) -8 + 6b = (-4 + 2b) Solving -8 + 6b = -4 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -8 + 6b + -2b = -4 + 2b + -2b Combine like terms: 6b + -2b = 4b -8 + 4b = -4 + 2b + -2b Combine like terms: 2b + -2b = 0 -8 + 4b = -4 + 0 -8 + 4b = -4 Add '8' to each side of the equation. -8 + 8 + 4b = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 4b = -4 + 8 4b = -4 + 8 Combine like terms: -4 + 8 = 4 4b = 4 Divide each side by '4'. b = 1 Simplifying b = 1
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