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Simplifying a + -3 = 6(3a + -24) Reorder the terms: -3 + a = 6(3a + -24) Reorder the terms: -3 + a = 6(-24 + 3a) -3 + a = (-24 * 6 + 3a * 6) -3 + a = (-144 + 18a) Solving -3 + a = -144 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -3 + a + -18a = -144 + 18a + -18a Combine like terms: a + -18a = -17a -3 + -17a = -144 + 18a + -18a Combine like terms: 18a + -18a = 0 -3 + -17a = -144 + 0 -3 + -17a = -144 Add '3' to each side of the equation. -3 + 3 + -17a = -144 + 3 Combine like terms: -3 + 3 = 0 0 + -17a = -144 + 3 -17a = -144 + 3 Combine like terms: -144 + 3 = -141 -17a = -141 Divide each side by '-17'. a = 8.294117647 Simplifying a = 8.294117647
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