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Simplifying 2(a + -5) = 4 + -1(2a + 10) Reorder the terms: 2(-5 + a) = 4 + -1(2a + 10) (-5 * 2 + a * 2) = 4 + -1(2a + 10) (-10 + 2a) = 4 + -1(2a + 10) Reorder the terms: -10 + 2a = 4 + -1(10 + 2a) -10 + 2a = 4 + (10 * -1 + 2a * -1) -10 + 2a = 4 + (-10 + -2a) Combine like terms: 4 + -10 = -6 -10 + 2a = -6 + -2a Solving -10 + 2a = -6 + -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 + 2a + 2a = -6 + -2a + 2a Combine like terms: 2a + 2a = 4a -10 + 4a = -6 + -2a + 2a Combine like terms: -2a + 2a = 0 -10 + 4a = -6 + 0 -10 + 4a = -6 Add '10' to each side of the equation. -10 + 10 + 4a = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 4a = -6 + 10 4a = -6 + 10 Combine like terms: -6 + 10 = 4 4a = 4 Divide each side by '4'. a = 1 Simplifying a = 1
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