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Simplifying 3(a + -4) + 5(a + -2) = 2(a + -6) Reorder the terms: 3(-4 + a) + 5(a + -2) = 2(a + -6) (-4 * 3 + a * 3) + 5(a + -2) = 2(a + -6) (-12 + 3a) + 5(a + -2) = 2(a + -6) Reorder the terms: -12 + 3a + 5(-2 + a) = 2(a + -6) -12 + 3a + (-2 * 5 + a * 5) = 2(a + -6) -12 + 3a + (-10 + 5a) = 2(a + -6) Reorder the terms: -12 + -10 + 3a + 5a = 2(a + -6) Combine like terms: -12 + -10 = -22 -22 + 3a + 5a = 2(a + -6) Combine like terms: 3a + 5a = 8a -22 + 8a = 2(a + -6) Reorder the terms: -22 + 8a = 2(-6 + a) -22 + 8a = (-6 * 2 + a * 2) -22 + 8a = (-12 + 2a) Solving -22 + 8a = -12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -22 + 8a + -2a = -12 + 2a + -2a Combine like terms: 8a + -2a = 6a -22 + 6a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -22 + 6a = -12 + 0 -22 + 6a = -12 Add '22' to each side of the equation. -22 + 22 + 6a = -12 + 22 Combine like terms: -22 + 22 = 0 0 + 6a = -12 + 22 6a = -12 + 22 Combine like terms: -12 + 22 = 10 6a = 10 Divide each side by '6'. a = 1.666666667 Simplifying a = 1.666666667
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