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Simplifying 4(a + -5) + 2 = a + 3 Reorder the terms: 4(-5 + a) + 2 = a + 3 (-5 * 4 + a * 4) + 2 = a + 3 (-20 + 4a) + 2 = a + 3 Reorder the terms: -20 + 2 + 4a = a + 3 Combine like terms: -20 + 2 = -18 -18 + 4a = a + 3 Reorder the terms: -18 + 4a = 3 + a Solving -18 + 4a = 3 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -18 + 4a + -1a = 3 + a + -1a Combine like terms: 4a + -1a = 3a -18 + 3a = 3 + a + -1a Combine like terms: a + -1a = 0 -18 + 3a = 3 + 0 -18 + 3a = 3 Add '18' to each side of the equation. -18 + 18 + 3a = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 3a = 3 + 18 3a = 3 + 18 Combine like terms: 3 + 18 = 21 3a = 21 Divide each side by '3'. a = 7 Simplifying a = 7
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