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Simplifying 3(8a + -2) = 15(15a + 18) Reorder the terms: 3(-2 + 8a) = 15(15a + 18) (-2 * 3 + 8a * 3) = 15(15a + 18) (-6 + 24a) = 15(15a + 18) Reorder the terms: -6 + 24a = 15(18 + 15a) -6 + 24a = (18 * 15 + 15a * 15) -6 + 24a = (270 + 225a) Solving -6 + 24a = 270 + 225a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-225a' to each side of the equation. -6 + 24a + -225a = 270 + 225a + -225a Combine like terms: 24a + -225a = -201a -6 + -201a = 270 + 225a + -225a Combine like terms: 225a + -225a = 0 -6 + -201a = 270 + 0 -6 + -201a = 270 Add '6' to each side of the equation. -6 + 6 + -201a = 270 + 6 Combine like terms: -6 + 6 = 0 0 + -201a = 270 + 6 -201a = 270 + 6 Combine like terms: 270 + 6 = 276 -201a = 276 Divide each side by '-201'. a = -1.373134328 Simplifying a = -1.373134328
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