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Simplifying 5(a + -2) = 2(a + -6) Reorder the terms: 5(-2 + a) = 2(a + -6) (-2 * 5 + a * 5) = 2(a + -6) (-10 + 5a) = 2(a + -6) Reorder the terms: -10 + 5a = 2(-6 + a) -10 + 5a = (-6 * 2 + a * 2) -10 + 5a = (-12 + 2a) Solving -10 + 5a = -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. -10 + 5a + -2a = -12 + 2a + -2a Combine like terms: 5a + -2a = 3a -10 + 3a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + 3a = -12 + 0 -10 + 3a = -12 Add '10' to each side of the equation. -10 + 10 + 3a = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 3a = -12 + 10 3a = -12 + 10 Combine like terms: -12 + 10 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667
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