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Simplifying 8 + 3(a + -3) = 4(a + 5) Reorder the terms: 8 + 3(-3 + a) = 4(a + 5) 8 + (-3 * 3 + a * 3) = 4(a + 5) 8 + (-9 + 3a) = 4(a + 5) Combine like terms: 8 + -9 = -1 -1 + 3a = 4(a + 5) Reorder the terms: -1 + 3a = 4(5 + a) -1 + 3a = (5 * 4 + a * 4) -1 + 3a = (20 + 4a) Solving -1 + 3a = 20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -1 + 3a + -4a = 20 + 4a + -4a Combine like terms: 3a + -4a = -1a -1 + -1a = 20 + 4a + -4a Combine like terms: 4a + -4a = 0 -1 + -1a = 20 + 0 -1 + -1a = 20 Add '1' to each side of the equation. -1 + 1 + -1a = 20 + 1 Combine like terms: -1 + 1 = 0 0 + -1a = 20 + 1 -1a = 20 + 1 Combine like terms: 20 + 1 = 21 -1a = 21 Divide each side by '-1'. a = -21 Simplifying a = -21
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