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Simplifying 3a + 5(a + -4) = -7a + 10 Reorder the terms: 3a + 5(-4 + a) = -7a + 10 3a + (-4 * 5 + a * 5) = -7a + 10 3a + (-20 + 5a) = -7a + 10 Reorder the terms: -20 + 3a + 5a = -7a + 10 Combine like terms: 3a + 5a = 8a -20 + 8a = -7a + 10 Reorder the terms: -20 + 8a = 10 + -7a Solving -20 + 8a = 10 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -20 + 8a + 7a = 10 + -7a + 7a Combine like terms: 8a + 7a = 15a -20 + 15a = 10 + -7a + 7a Combine like terms: -7a + 7a = 0 -20 + 15a = 10 + 0 -20 + 15a = 10 Add '20' to each side of the equation. -20 + 20 + 15a = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 15a = 10 + 20 15a = 10 + 20 Combine like terms: 10 + 20 = 30 15a = 30 Divide each side by '15'. a = 2 Simplifying a = 2
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