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Simplifying 5(a + -2) = 4 + -1(-2a + 1) Reorder the terms: 5(-2 + a) = 4 + -1(-2a + 1) (-2 * 5 + a * 5) = 4 + -1(-2a + 1) (-10 + 5a) = 4 + -1(-2a + 1) Reorder the terms: -10 + 5a = 4 + -1(1 + -2a) -10 + 5a = 4 + (1 * -1 + -2a * -1) -10 + 5a = 4 + (-1 + 2a) Combine like terms: 4 + -1 = 3 -10 + 5a = 3 + 2a Solving -10 + 5a = 3 + 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 + 5a + -2a = 3 + 2a + -2a Combine like terms: 5a + -2a = 3a -10 + 3a = 3 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + 3a = 3 + 0 -10 + 3a = 3 Add '10' to each side of the equation. -10 + 10 + 3a = 3 + 10 Combine like terms: -10 + 10 = 0 0 + 3a = 3 + 10 3a = 3 + 10 Combine like terms: 3 + 10 = 13 3a = 13 Divide each side by '3'. a = 4.333333333 Simplifying a = 4.333333333
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