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Simplifying 3a + -10 + 6a + -8 = 5(a + -6) + 2a Reorder the terms: -10 + -8 + 3a + 6a = 5(a + -6) + 2a Combine like terms: -10 + -8 = -18 -18 + 3a + 6a = 5(a + -6) + 2a Combine like terms: 3a + 6a = 9a -18 + 9a = 5(a + -6) + 2a Reorder the terms: -18 + 9a = 5(-6 + a) + 2a -18 + 9a = (-6 * 5 + a * 5) + 2a -18 + 9a = (-30 + 5a) + 2a Combine like terms: 5a + 2a = 7a -18 + 9a = -30 + 7a Solving -18 + 9a = -30 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -18 + 9a + -7a = -30 + 7a + -7a Combine like terms: 9a + -7a = 2a -18 + 2a = -30 + 7a + -7a Combine like terms: 7a + -7a = 0 -18 + 2a = -30 + 0 -18 + 2a = -30 Add '18' to each side of the equation. -18 + 18 + 2a = -30 + 18 Combine like terms: -18 + 18 = 0 0 + 2a = -30 + 18 2a = -30 + 18 Combine like terms: -30 + 18 = -12 2a = -12 Divide each side by '2'. a = -6 Simplifying a = -6
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