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Simplifying 8(a + -2) + -3(2a + -1) = 13 Reorder the terms: 8(-2 + a) + -3(2a + -1) = 13 (-2 * 8 + a * 8) + -3(2a + -1) = 13 (-16 + 8a) + -3(2a + -1) = 13 Reorder the terms: -16 + 8a + -3(-1 + 2a) = 13 -16 + 8a + (-1 * -3 + 2a * -3) = 13 -16 + 8a + (3 + -6a) = 13 Reorder the terms: -16 + 3 + 8a + -6a = 13 Combine like terms: -16 + 3 = -13 -13 + 8a + -6a = 13 Combine like terms: 8a + -6a = 2a -13 + 2a = 13 Solving -13 + 2a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2a = 13 + 13 Combine like terms: -13 + 13 = 0 0 + 2a = 13 + 13 2a = 13 + 13 Combine like terms: 13 + 13 = 26 2a = 26 Divide each side by '2'. a = 13 Simplifying a = 13
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