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Simplifying 6(a + -3) + -2a = -2(a + -4) + -2 Reorder the terms: 6(-3 + a) + -2a = -2(a + -4) + -2 (-3 * 6 + a * 6) + -2a = -2(a + -4) + -2 (-18 + 6a) + -2a = -2(a + -4) + -2 Combine like terms: 6a + -2a = 4a -18 + 4a = -2(a + -4) + -2 Reorder the terms: -18 + 4a = -2(-4 + a) + -2 -18 + 4a = (-4 * -2 + a * -2) + -2 -18 + 4a = (8 + -2a) + -2 Reorder the terms: -18 + 4a = 8 + -2 + -2a Combine like terms: 8 + -2 = 6 -18 + 4a = 6 + -2a Solving -18 + 4a = 6 + -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. -18 + 4a + 2a = 6 + -2a + 2a Combine like terms: 4a + 2a = 6a -18 + 6a = 6 + -2a + 2a Combine like terms: -2a + 2a = 0 -18 + 6a = 6 + 0 -18 + 6a = 6 Add '18' to each side of the equation. -18 + 18 + 6a = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 6a = 6 + 18 6a = 6 + 18 Combine like terms: 6 + 18 = 24 6a = 24 Divide each side by '6'. a = 4 Simplifying a = 4
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