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Simplifying 7(a + -1) + -13(a + -2) = -4(2a + 1) + -3 Reorder the terms: 7(-1 + a) + -13(a + -2) = -4(2a + 1) + -3 (-1 * 7 + a * 7) + -13(a + -2) = -4(2a + 1) + -3 (-7 + 7a) + -13(a + -2) = -4(2a + 1) + -3 Reorder the terms: -7 + 7a + -13(-2 + a) = -4(2a + 1) + -3 -7 + 7a + (-2 * -13 + a * -13) = -4(2a + 1) + -3 -7 + 7a + (26 + -13a) = -4(2a + 1) + -3 Reorder the terms: -7 + 26 + 7a + -13a = -4(2a + 1) + -3 Combine like terms: -7 + 26 = 19 19 + 7a + -13a = -4(2a + 1) + -3 Combine like terms: 7a + -13a = -6a 19 + -6a = -4(2a + 1) + -3 Reorder the terms: 19 + -6a = -4(1 + 2a) + -3 19 + -6a = (1 * -4 + 2a * -4) + -3 19 + -6a = (-4 + -8a) + -3 Reorder the terms: 19 + -6a = -4 + -3 + -8a Combine like terms: -4 + -3 = -7 19 + -6a = -7 + -8a Solving 19 + -6a = -7 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 19 + -6a + 8a = -7 + -8a + 8a Combine like terms: -6a + 8a = 2a 19 + 2a = -7 + -8a + 8a Combine like terms: -8a + 8a = 0 19 + 2a = -7 + 0 19 + 2a = -7 Add '-19' to each side of the equation. 19 + -19 + 2a = -7 + -19 Combine like terms: 19 + -19 = 0 0 + 2a = -7 + -19 2a = -7 + -19 Combine like terms: -7 + -19 = -26 2a = -26 Divide each side by '2'. a = -13 Simplifying a = -13
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