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Simplifying 15(3a + -4) = -4(3a + -3) Reorder the terms: 15(-4 + 3a) = -4(3a + -3) (-4 * 15 + 3a * 15) = -4(3a + -3) (-60 + 45a) = -4(3a + -3) Reorder the terms: -60 + 45a = -4(-3 + 3a) -60 + 45a = (-3 * -4 + 3a * -4) -60 + 45a = (12 + -12a) Solving -60 + 45a = 12 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -60 + 45a + 12a = 12 + -12a + 12a Combine like terms: 45a + 12a = 57a -60 + 57a = 12 + -12a + 12a Combine like terms: -12a + 12a = 0 -60 + 57a = 12 + 0 -60 + 57a = 12 Add '60' to each side of the equation. -60 + 60 + 57a = 12 + 60 Combine like terms: -60 + 60 = 0 0 + 57a = 12 + 60 57a = 12 + 60 Combine like terms: 12 + 60 = 72 57a = 72 Divide each side by '57'. a = 1.263157895 Simplifying a = 1.263157895
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