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Simplifying 3(a + -2) + 5a = 14 + -6(5 + -3a) Reorder the terms: 3(-2 + a) + 5a = 14 + -6(5 + -3a) (-2 * 3 + a * 3) + 5a = 14 + -6(5 + -3a) (-6 + 3a) + 5a = 14 + -6(5 + -3a) Combine like terms: 3a + 5a = 8a -6 + 8a = 14 + -6(5 + -3a) -6 + 8a = 14 + (5 * -6 + -3a * -6) -6 + 8a = 14 + (-30 + 18a) Combine like terms: 14 + -30 = -16 -6 + 8a = -16 + 18a Solving -6 + 8a = -16 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -6 + 8a + -18a = -16 + 18a + -18a Combine like terms: 8a + -18a = -10a -6 + -10a = -16 + 18a + -18a Combine like terms: 18a + -18a = 0 -6 + -10a = -16 + 0 -6 + -10a = -16 Add '6' to each side of the equation. -6 + 6 + -10a = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -10a = -16 + 6 -10a = -16 + 6 Combine like terms: -16 + 6 = -10 -10a = -10 Divide each side by '-10'. a = 1 Simplifying a = 1
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