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Simplifying -15(a + 3) + 5(3a + 2) = -1a + (5a + -15) Reorder the terms: -15(3 + a) + 5(3a + 2) = -1a + (5a + -15) (3 * -15 + a * -15) + 5(3a + 2) = -1a + (5a + -15) (-45 + -15a) + 5(3a + 2) = -1a + (5a + -15) Reorder the terms: -45 + -15a + 5(2 + 3a) = -1a + (5a + -15) -45 + -15a + (2 * 5 + 3a * 5) = -1a + (5a + -15) -45 + -15a + (10 + 15a) = -1a + (5a + -15) Reorder the terms: -45 + 10 + -15a + 15a = -1a + (5a + -15) Combine like terms: -45 + 10 = -35 -35 + -15a + 15a = -1a + (5a + -15) Combine like terms: -15a + 15a = 0 -35 + 0 = -1a + (5a + -15) -35 = -1a + (5a + -15) Reorder the terms: -35 = -1a + (-15 + 5a) Remove parenthesis around (-15 + 5a) -35 = -1a + -15 + 5a Reorder the terms: -35 = -15 + -1a + 5a Combine like terms: -1a + 5a = 4a -35 = -15 + 4a Solving -35 = -15 + 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. -35 + -4a = -15 + 4a + -4a Combine like terms: 4a + -4a = 0 -35 + -4a = -15 + 0 -35 + -4a = -15 Add '35' to each side of the equation. -35 + 35 + -4a = -15 + 35 Combine like terms: -35 + 35 = 0 0 + -4a = -15 + 35 -4a = -15 + 35 Combine like terms: -15 + 35 = 20 -4a = 20 Divide each side by '-4'. a = -5 Simplifying a = -5
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