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Simplifying -4(3b + 9) = 24 + 3(2a + -8) Reorder the terms: -4(9 + 3b) = 24 + 3(2a + -8) (9 * -4 + 3b * -4) = 24 + 3(2a + -8) (-36 + -12b) = 24 + 3(2a + -8) Reorder the terms: -36 + -12b = 24 + 3(-8 + 2a) -36 + -12b = 24 + (-8 * 3 + 2a * 3) -36 + -12b = 24 + (-24 + 6a) Combine like terms: 24 + -24 = 0 -36 + -12b = 0 + 6a -36 + -12b = 6a Solving -36 + -12b = 6a Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -12b = 36 + 6a Combine like terms: -36 + 36 = 0 0 + -12b = 36 + 6a -12b = 36 + 6a Divide each side by '-12'. b = -3 + -0.5a Simplifying b = -3 + -0.5a
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