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Simplifying 5(3a + -2) = 2(6a + -8) Reorder the terms: 5(-2 + 3a) = 2(6a + -8) (-2 * 5 + 3a * 5) = 2(6a + -8) (-10 + 15a) = 2(6a + -8) Reorder the terms: -10 + 15a = 2(-8 + 6a) -10 + 15a = (-8 * 2 + 6a * 2) -10 + 15a = (-16 + 12a) Solving -10 + 15a = -16 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -10 + 15a + -12a = -16 + 12a + -12a Combine like terms: 15a + -12a = 3a -10 + 3a = -16 + 12a + -12a Combine like terms: 12a + -12a = 0 -10 + 3a = -16 + 0 -10 + 3a = -16 Add '10' to each side of the equation. -10 + 10 + 3a = -16 + 10 Combine like terms: -10 + 10 = 0 0 + 3a = -16 + 10 3a = -16 + 10 Combine like terms: -16 + 10 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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