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Simplifying 2(a + 4) + -3a = 2(a + -2) Reorder the terms: 2(4 + a) + -3a = 2(a + -2) (4 * 2 + a * 2) + -3a = 2(a + -2) (8 + 2a) + -3a = 2(a + -2) Combine like terms: 2a + -3a = -1a 8 + -1a = 2(a + -2) Reorder the terms: 8 + -1a = 2(-2 + a) 8 + -1a = (-2 * 2 + a * 2) 8 + -1a = (-4 + 2a) Solving 8 + -1a = -4 + 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. 8 + -1a + -2a = -4 + 2a + -2a Combine like terms: -1a + -2a = -3a 8 + -3a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + -3a = -4 + 0 8 + -3a = -4 Add '-8' to each side of the equation. 8 + -8 + -3a = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3a = -4 + -8 -3a = -4 + -8 Combine like terms: -4 + -8 = -12 -3a = -12 Divide each side by '-3'. a = 4 Simplifying a = 4
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