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Simplifying 3(a + -4) + 2(a + -2) = 10 + -5a Reorder the terms: 3(-4 + a) + 2(a + -2) = 10 + -5a (-4 * 3 + a * 3) + 2(a + -2) = 10 + -5a (-12 + 3a) + 2(a + -2) = 10 + -5a Reorder the terms: -12 + 3a + 2(-2 + a) = 10 + -5a -12 + 3a + (-2 * 2 + a * 2) = 10 + -5a -12 + 3a + (-4 + 2a) = 10 + -5a Reorder the terms: -12 + -4 + 3a + 2a = 10 + -5a Combine like terms: -12 + -4 = -16 -16 + 3a + 2a = 10 + -5a Combine like terms: 3a + 2a = 5a -16 + 5a = 10 + -5a Solving -16 + 5a = 10 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -16 + 5a + 5a = 10 + -5a + 5a Combine like terms: 5a + 5a = 10a -16 + 10a = 10 + -5a + 5a Combine like terms: -5a + 5a = 0 -16 + 10a = 10 + 0 -16 + 10a = 10 Add '16' to each side of the equation. -16 + 16 + 10a = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 10a = 10 + 16 10a = 10 + 16 Combine like terms: 10 + 16 = 26 10a = 26 Divide each side by '10'. a = 2.6 Simplifying a = 2.6
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