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Simplifying 4(a + -3) + 2 = 2(a + -5) Reorder the terms: 4(-3 + a) + 2 = 2(a + -5) (-3 * 4 + a * 4) + 2 = 2(a + -5) (-12 + 4a) + 2 = 2(a + -5) Reorder the terms: -12 + 2 + 4a = 2(a + -5) Combine like terms: -12 + 2 = -10 -10 + 4a = 2(a + -5) Reorder the terms: -10 + 4a = 2(-5 + a) -10 + 4a = (-5 * 2 + a * 2) -10 + 4a = (-10 + 2a) Add '10' to each side of the equation. -10 + 10 + 4a = -10 + 10 + 2a Combine like terms: -10 + 10 = 0 0 + 4a = -10 + 10 + 2a 4a = -10 + 10 + 2a Combine like terms: -10 + 10 = 0 4a = 0 + 2a 4a = 2a Solving 4a = 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. 4a + -2a = 2a + -2a Combine like terms: 4a + -2a = 2a 2a = 2a + -2a Combine like terms: 2a + -2a = 0 2a = 0 Divide each side by '2'. a = 0 Simplifying a = 0
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