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Simplifying 5a + -4 = 8(a + 1) + 14a + 6 Reorder the terms: -4 + 5a = 8(a + 1) + 14a + 6 Reorder the terms: -4 + 5a = 8(1 + a) + 14a + 6 -4 + 5a = (1 * 8 + a * 8) + 14a + 6 -4 + 5a = (8 + 8a) + 14a + 6 Reorder the terms: -4 + 5a = 8 + 6 + 8a + 14a Combine like terms: 8 + 6 = 14 -4 + 5a = 14 + 8a + 14a Combine like terms: 8a + 14a = 22a -4 + 5a = 14 + 22a Solving -4 + 5a = 14 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. -4 + 5a + -22a = 14 + 22a + -22a Combine like terms: 5a + -22a = -17a -4 + -17a = 14 + 22a + -22a Combine like terms: 22a + -22a = 0 -4 + -17a = 14 + 0 -4 + -17a = 14 Add '4' to each side of the equation. -4 + 4 + -17a = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -17a = 14 + 4 -17a = 14 + 4 Combine like terms: 14 + 4 = 18 -17a = 18 Divide each side by '-17'. a = -1.058823529 Simplifying a = -1.058823529
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