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Simplifying 6(a + -3) + -1(8a + -5) = 7 + 3a Reorder the terms: 6(-3 + a) + -1(8a + -5) = 7 + 3a (-3 * 6 + a * 6) + -1(8a + -5) = 7 + 3a (-18 + 6a) + -1(8a + -5) = 7 + 3a Reorder the terms: -18 + 6a + -1(-5 + 8a) = 7 + 3a -18 + 6a + (-5 * -1 + 8a * -1) = 7 + 3a -18 + 6a + (5 + -8a) = 7 + 3a Reorder the terms: -18 + 5 + 6a + -8a = 7 + 3a Combine like terms: -18 + 5 = -13 -13 + 6a + -8a = 7 + 3a Combine like terms: 6a + -8a = -2a -13 + -2a = 7 + 3a Solving -13 + -2a = 7 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -13 + -2a + -3a = 7 + 3a + -3a Combine like terms: -2a + -3a = -5a -13 + -5a = 7 + 3a + -3a Combine like terms: 3a + -3a = 0 -13 + -5a = 7 + 0 -13 + -5a = 7 Add '13' to each side of the equation. -13 + 13 + -5a = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -5a = 7 + 13 -5a = 7 + 13 Combine like terms: 7 + 13 = 20 -5a = 20 Divide each side by '-5'. a = -4 Simplifying a = -4
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