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Simplifying 6a + 3(5a + -4) = 12(2a + -5) Reorder the terms: 6a + 3(-4 + 5a) = 12(2a + -5) 6a + (-4 * 3 + 5a * 3) = 12(2a + -5) 6a + (-12 + 15a) = 12(2a + -5) Reorder the terms: -12 + 6a + 15a = 12(2a + -5) Combine like terms: 6a + 15a = 21a -12 + 21a = 12(2a + -5) Reorder the terms: -12 + 21a = 12(-5 + 2a) -12 + 21a = (-5 * 12 + 2a * 12) -12 + 21a = (-60 + 24a) Solving -12 + 21a = -60 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -12 + 21a + -24a = -60 + 24a + -24a Combine like terms: 21a + -24a = -3a -12 + -3a = -60 + 24a + -24a Combine like terms: 24a + -24a = 0 -12 + -3a = -60 + 0 -12 + -3a = -60 Add '12' to each side of the equation. -12 + 12 + -3a = -60 + 12 Combine like terms: -12 + 12 = 0 0 + -3a = -60 + 12 -3a = -60 + 12 Combine like terms: -60 + 12 = -48 -3a = -48 Divide each side by '-3'. a = 16 Simplifying a = 16
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