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Simplifying 5(a + -12) + -24 = 3(s + 2) Reorder the terms: 5(-12 + a) + -24 = 3(s + 2) (-12 * 5 + a * 5) + -24 = 3(s + 2) (-60 + 5a) + -24 = 3(s + 2) Reorder the terms: -60 + -24 + 5a = 3(s + 2) Combine like terms: -60 + -24 = -84 -84 + 5a = 3(s + 2) Reorder the terms: -84 + 5a = 3(2 + s) -84 + 5a = (2 * 3 + s * 3) -84 + 5a = (6 + 3s) Solving -84 + 5a = 6 + 3s Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 5a = 6 + 84 + 3s Combine like terms: -84 + 84 = 0 0 + 5a = 6 + 84 + 3s 5a = 6 + 84 + 3s Combine like terms: 6 + 84 = 90 5a = 90 + 3s Divide each side by '5'. a = 18 + 0.6s Simplifying a = 18 + 0.6s
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