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Simplifying 8(a + -3) + -6 = 5a + 5 Reorder the terms: 8(-3 + a) + -6 = 5a + 5 (-3 * 8 + a * 8) + -6 = 5a + 5 (-24 + 8a) + -6 = 5a + 5 Reorder the terms: -24 + -6 + 8a = 5a + 5 Combine like terms: -24 + -6 = -30 -30 + 8a = 5a + 5 Reorder the terms: -30 + 8a = 5 + 5a Solving -30 + 8a = 5 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -30 + 8a + -5a = 5 + 5a + -5a Combine like terms: 8a + -5a = 3a -30 + 3a = 5 + 5a + -5a Combine like terms: 5a + -5a = 0 -30 + 3a = 5 + 0 -30 + 3a = 5 Add '30' to each side of the equation. -30 + 30 + 3a = 5 + 30 Combine like terms: -30 + 30 = 0 0 + 3a = 5 + 30 3a = 5 + 30 Combine like terms: 5 + 30 = 35 3a = 35 Divide each side by '3'. a = 11.66666667 Simplifying a = 11.66666667
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