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Simplifying a + -1(2a + 1) = 8 + -1(3x + 3) Reorder the terms: a + -1(1 + 2a) = 8 + -1(3x + 3) a + (1 * -1 + 2a * -1) = 8 + -1(3x + 3) a + (-1 + -2a) = 8 + -1(3x + 3) Reorder the terms: -1 + a + -2a = 8 + -1(3x + 3) Combine like terms: a + -2a = -1a -1 + -1a = 8 + -1(3x + 3) Reorder the terms: -1 + -1a = 8 + -1(3 + 3x) -1 + -1a = 8 + (3 * -1 + 3x * -1) -1 + -1a = 8 + (-3 + -3x) Combine like terms: 8 + -3 = 5 -1 + -1a = 5 + -3x Solving -1 + -1a = 5 + -3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1a = 5 + 1 + -3x Combine like terms: -1 + 1 = 0 0 + -1a = 5 + 1 + -3x -1a = 5 + 1 + -3x Combine like terms: 5 + 1 = 6 -1a = 6 + -3x Divide each side by '-1'. a = -6 + 3x Simplifying a = -6 + 3x
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