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Simplifying 5(-4a + -4) + 2a = -5a + -8(3a + -3) Reorder the terms: 5(-4 + -4a) + 2a = -5a + -8(3a + -3) (-4 * 5 + -4a * 5) + 2a = -5a + -8(3a + -3) (-20 + -20a) + 2a = -5a + -8(3a + -3) Combine like terms: -20a + 2a = -18a -20 + -18a = -5a + -8(3a + -3) Reorder the terms: -20 + -18a = -5a + -8(-3 + 3a) -20 + -18a = -5a + (-3 * -8 + 3a * -8) -20 + -18a = -5a + (24 + -24a) Reorder the terms: -20 + -18a = 24 + -5a + -24a Combine like terms: -5a + -24a = -29a -20 + -18a = 24 + -29a Solving -20 + -18a = 24 + -29a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '29a' to each side of the equation. -20 + -18a + 29a = 24 + -29a + 29a Combine like terms: -18a + 29a = 11a -20 + 11a = 24 + -29a + 29a Combine like terms: -29a + 29a = 0 -20 + 11a = 24 + 0 -20 + 11a = 24 Add '20' to each side of the equation. -20 + 20 + 11a = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 11a = 24 + 20 11a = 24 + 20 Combine like terms: 24 + 20 = 44 11a = 44 Divide each side by '11'. a = 4 Simplifying a = 4
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