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Simplifying 2a + -6(a + 5) = 1 + -2(a + -2) Reorder the terms: 2a + -6(5 + a) = 1 + -2(a + -2) 2a + (5 * -6 + a * -6) = 1 + -2(a + -2) 2a + (-30 + -6a) = 1 + -2(a + -2) Reorder the terms: -30 + 2a + -6a = 1 + -2(a + -2) Combine like terms: 2a + -6a = -4a -30 + -4a = 1 + -2(a + -2) Reorder the terms: -30 + -4a = 1 + -2(-2 + a) -30 + -4a = 1 + (-2 * -2 + a * -2) -30 + -4a = 1 + (4 + -2a) Combine like terms: 1 + 4 = 5 -30 + -4a = 5 + -2a Solving -30 + -4a = 5 + -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. -30 + -4a + 2a = 5 + -2a + 2a Combine like terms: -4a + 2a = -2a -30 + -2a = 5 + -2a + 2a Combine like terms: -2a + 2a = 0 -30 + -2a = 5 + 0 -30 + -2a = 5 Add '30' to each side of the equation. -30 + 30 + -2a = 5 + 30 Combine like terms: -30 + 30 = 0 0 + -2a = 5 + 30 -2a = 5 + 30 Combine like terms: 5 + 30 = 35 -2a = 35 Divide each side by '-2'. a = -17.5 Simplifying a = -17.5
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