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Simplifying 3a + -2(a + 5) = 2a + -7 Reorder the terms: 3a + -2(5 + a) = 2a + -7 3a + (5 * -2 + a * -2) = 2a + -7 3a + (-10 + -2a) = 2a + -7 Reorder the terms: -10 + 3a + -2a = 2a + -7 Combine like terms: 3a + -2a = 1a -10 + 1a = 2a + -7 Reorder the terms: -10 + 1a = -7 + 2a Solving -10 + 1a = -7 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -10 + 1a + -2a = -7 + 2a + -2a Combine like terms: 1a + -2a = -1a -10 + -1a = -7 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + -1a = -7 + 0 -10 + -1a = -7 Add '10' to each side of the equation. -10 + 10 + -1a = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -1a = -7 + 10 -1a = -7 + 10 Combine like terms: -7 + 10 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3
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