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Simplifying 6(a + 7) + -3(a + -8) = 51 Reorder the terms: 6(7 + a) + -3(a + -8) = 51 (7 * 6 + a * 6) + -3(a + -8) = 51 (42 + 6a) + -3(a + -8) = 51 Reorder the terms: 42 + 6a + -3(-8 + a) = 51 42 + 6a + (-8 * -3 + a * -3) = 51 42 + 6a + (24 + -3a) = 51 Reorder the terms: 42 + 24 + 6a + -3a = 51 Combine like terms: 42 + 24 = 66 66 + 6a + -3a = 51 Combine like terms: 6a + -3a = 3a 66 + 3a = 51 Solving 66 + 3a = 51 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 3a = 51 + -66 Combine like terms: 66 + -66 = 0 0 + 3a = 51 + -66 3a = 51 + -66 Combine like terms: 51 + -66 = -15 3a = -15 Divide each side by '3'. a = -5 Simplifying a = -5
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