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Simplifying 8(3a + -5a) + -4(2a + 3) = 12 Combine like terms: 3a + -5a = -2a 8(-2a) + -4(2a + 3) = 12 Remove parenthesis around (-2a) 8 * -2a + -4(2a + 3) = 12 Multiply 8 * -2 -16a + -4(2a + 3) = 12 Reorder the terms: -16a + -4(3 + 2a) = 12 -16a + (3 * -4 + 2a * -4) = 12 -16a + (-12 + -8a) = 12 Reorder the terms: -12 + -16a + -8a = 12 Combine like terms: -16a + -8a = -24a -12 + -24a = 12 Solving -12 + -24a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -24a = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -24a = 12 + 12 -24a = 12 + 12 Combine like terms: 12 + 12 = 24 -24a = 24 Divide each side by '-24'. a = -1 Simplifying a = -1
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