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Simplifying 4a + -8 = 8(a + 1) + 13a + 2 Reorder the terms: -8 + 4a = 8(a + 1) + 13a + 2 Reorder the terms: -8 + 4a = 8(1 + a) + 13a + 2 -8 + 4a = (1 * 8 + a * 8) + 13a + 2 -8 + 4a = (8 + 8a) + 13a + 2 Reorder the terms: -8 + 4a = 8 + 2 + 8a + 13a Combine like terms: 8 + 2 = 10 -8 + 4a = 10 + 8a + 13a Combine like terms: 8a + 13a = 21a -8 + 4a = 10 + 21a Solving -8 + 4a = 10 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -8 + 4a + -21a = 10 + 21a + -21a Combine like terms: 4a + -21a = -17a -8 + -17a = 10 + 21a + -21a Combine like terms: 21a + -21a = 0 -8 + -17a = 10 + 0 -8 + -17a = 10 Add '8' to each side of the equation. -8 + 8 + -17a = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -17a = 10 + 8 -17a = 10 + 8 Combine like terms: 10 + 8 = 18 -17a = 18 Divide each side by '-17'. a = -1.058823529 Simplifying a = -1.058823529
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