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Simplifying 3(3a + -2) + -6(2 + a) = 2(2a + -5) Reorder the terms: 3(-2 + 3a) + -6(2 + a) = 2(2a + -5) (-2 * 3 + 3a * 3) + -6(2 + a) = 2(2a + -5) (-6 + 9a) + -6(2 + a) = 2(2a + -5) -6 + 9a + (2 * -6 + a * -6) = 2(2a + -5) -6 + 9a + (-12 + -6a) = 2(2a + -5) Reorder the terms: -6 + -12 + 9a + -6a = 2(2a + -5) Combine like terms: -6 + -12 = -18 -18 + 9a + -6a = 2(2a + -5) Combine like terms: 9a + -6a = 3a -18 + 3a = 2(2a + -5) Reorder the terms: -18 + 3a = 2(-5 + 2a) -18 + 3a = (-5 * 2 + 2a * 2) -18 + 3a = (-10 + 4a) Solving -18 + 3a = -10 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -18 + 3a + -4a = -10 + 4a + -4a Combine like terms: 3a + -4a = -1a -18 + -1a = -10 + 4a + -4a Combine like terms: 4a + -4a = 0 -18 + -1a = -10 + 0 -18 + -1a = -10 Add '18' to each side of the equation. -18 + 18 + -1a = -10 + 18 Combine like terms: -18 + 18 = 0 0 + -1a = -10 + 18 -1a = -10 + 18 Combine like terms: -10 + 18 = 8 -1a = 8 Divide each side by '-1'. a = -8 Simplifying a = -8
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