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Simplifying 2a + -1(3a + 5) + -2(a + 1) = 4(a + -1) Reorder the terms: 2a + -1(5 + 3a) + -2(a + 1) = 4(a + -1) 2a + (5 * -1 + 3a * -1) + -2(a + 1) = 4(a + -1) 2a + (-5 + -3a) + -2(a + 1) = 4(a + -1) Reorder the terms: 2a + -5 + -3a + -2(1 + a) = 4(a + -1) 2a + -5 + -3a + (1 * -2 + a * -2) = 4(a + -1) 2a + -5 + -3a + (-2 + -2a) = 4(a + -1) Reorder the terms: -5 + -2 + 2a + -3a + -2a = 4(a + -1) Combine like terms: -5 + -2 = -7 -7 + 2a + -3a + -2a = 4(a + -1) Combine like terms: 2a + -3a = -1a -7 + -1a + -2a = 4(a + -1) Combine like terms: -1a + -2a = -3a -7 + -3a = 4(a + -1) Reorder the terms: -7 + -3a = 4(-1 + a) -7 + -3a = (-1 * 4 + a * 4) -7 + -3a = (-4 + 4a) Solving -7 + -3a = -4 + 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. -7 + -3a + -4a = -4 + 4a + -4a Combine like terms: -3a + -4a = -7a -7 + -7a = -4 + 4a + -4a Combine like terms: 4a + -4a = 0 -7 + -7a = -4 + 0 -7 + -7a = -4 Add '7' to each side of the equation. -7 + 7 + -7a = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -7a = -4 + 7 -7a = -4 + 7 Combine like terms: -4 + 7 = 3 -7a = 3 Divide each side by '-7'. a = -0.4285714286 Simplifying a = -0.4285714286
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