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Simplifying 5(a + -6) = 2(a + -4) Reorder the terms: 5(-6 + a) = 2(a + -4) (-6 * 5 + a * 5) = 2(a + -4) (-30 + 5a) = 2(a + -4) Reorder the terms: -30 + 5a = 2(-4 + a) -30 + 5a = (-4 * 2 + a * 2) -30 + 5a = (-8 + 2a) Solving -30 + 5a = -8 + 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. -30 + 5a + -2a = -8 + 2a + -2a Combine like terms: 5a + -2a = 3a -30 + 3a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -30 + 3a = -8 + 0 -30 + 3a = -8 Add '30' to each side of the equation. -30 + 30 + 3a = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 3a = -8 + 30 3a = -8 + 30 Combine like terms: -8 + 30 = 22 3a = 22 Divide each side by '3'. a = 7.333333333 Simplifying a = 7.333333333
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