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Simplifying 13a + -7(a + 1) = 4(a + -2) Reorder the terms: 13a + -7(1 + a) = 4(a + -2) 13a + (1 * -7 + a * -7) = 4(a + -2) 13a + (-7 + -7a) = 4(a + -2) Reorder the terms: -7 + 13a + -7a = 4(a + -2) Combine like terms: 13a + -7a = 6a -7 + 6a = 4(a + -2) Reorder the terms: -7 + 6a = 4(-2 + a) -7 + 6a = (-2 * 4 + a * 4) -7 + 6a = (-8 + 4a) Solving -7 + 6a = -8 + 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 + 6a + -4a = -8 + 4a + -4a Combine like terms: 6a + -4a = 2a -7 + 2a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 -7 + 2a = -8 + 0 -7 + 2a = -8 Add '7' to each side of the equation. -7 + 7 + 2a = -8 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = -8 + 7 2a = -8 + 7 Combine like terms: -8 + 7 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5
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