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Simplifying 8a + -3 = 5(a + 7) + 3 Reorder the terms: -3 + 8a = 5(a + 7) + 3 Reorder the terms: -3 + 8a = 5(7 + a) + 3 -3 + 8a = (7 * 5 + a * 5) + 3 -3 + 8a = (35 + 5a) + 3 Reorder the terms: -3 + 8a = 35 + 3 + 5a Combine like terms: 35 + 3 = 38 -3 + 8a = 38 + 5a Solving -3 + 8a = 38 + 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. -3 + 8a + -5a = 38 + 5a + -5a Combine like terms: 8a + -5a = 3a -3 + 3a = 38 + 5a + -5a Combine like terms: 5a + -5a = 0 -3 + 3a = 38 + 0 -3 + 3a = 38 Add '3' to each side of the equation. -3 + 3 + 3a = 38 + 3 Combine like terms: -3 + 3 = 0 0 + 3a = 38 + 3 3a = 38 + 3 Combine like terms: 38 + 3 = 41 3a = 41 Divide each side by '3'. a = 13.66666667 Simplifying a = 13.66666667
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