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Simplifying a + -5(a + 2) = 4a + 10 Reorder the terms: a + -5(2 + a) = 4a + 10 a + (2 * -5 + a * -5) = 4a + 10 a + (-10 + -5a) = 4a + 10 Reorder the terms: -10 + a + -5a = 4a + 10 Combine like terms: a + -5a = -4a -10 + -4a = 4a + 10 Reorder the terms: -10 + -4a = 10 + 4a Solving -10 + -4a = 10 + 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. -10 + -4a + -4a = 10 + 4a + -4a Combine like terms: -4a + -4a = -8a -10 + -8a = 10 + 4a + -4a Combine like terms: 4a + -4a = 0 -10 + -8a = 10 + 0 -10 + -8a = 10 Add '10' to each side of the equation. -10 + 10 + -8a = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -8a = 10 + 10 -8a = 10 + 10 Combine like terms: 10 + 10 = 20 -8a = 20 Divide each side by '-8'. a = -2.5 Simplifying a = -2.5
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