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Simplifying 5(a + 3) = -2 + -3(-6a + -10) Reorder the terms: 5(3 + a) = -2 + -3(-6a + -10) (3 * 5 + a * 5) = -2 + -3(-6a + -10) (15 + 5a) = -2 + -3(-6a + -10) Reorder the terms: 15 + 5a = -2 + -3(-10 + -6a) 15 + 5a = -2 + (-10 * -3 + -6a * -3) 15 + 5a = -2 + (30 + 18a) Combine like terms: -2 + 30 = 28 15 + 5a = 28 + 18a Solving 15 + 5a = 28 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 15 + 5a + -18a = 28 + 18a + -18a Combine like terms: 5a + -18a = -13a 15 + -13a = 28 + 18a + -18a Combine like terms: 18a + -18a = 0 15 + -13a = 28 + 0 15 + -13a = 28 Add '-15' to each side of the equation. 15 + -15 + -13a = 28 + -15 Combine like terms: 15 + -15 = 0 0 + -13a = 28 + -15 -13a = 28 + -15 Combine like terms: 28 + -15 = 13 -13a = 13 Divide each side by '-13'. a = -1 Simplifying a = -1
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