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Simplifying 4a + -5 = 7(a + 1) + 14a + 8 Reorder the terms: -5 + 4a = 7(a + 1) + 14a + 8 Reorder the terms: -5 + 4a = 7(1 + a) + 14a + 8 -5 + 4a = (1 * 7 + a * 7) + 14a + 8 -5 + 4a = (7 + 7a) + 14a + 8 Reorder the terms: -5 + 4a = 7 + 8 + 7a + 14a Combine like terms: 7 + 8 = 15 -5 + 4a = 15 + 7a + 14a Combine like terms: 7a + 14a = 21a -5 + 4a = 15 + 21a Solving -5 + 4a = 15 + 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. -5 + 4a + -21a = 15 + 21a + -21a Combine like terms: 4a + -21a = -17a -5 + -17a = 15 + 21a + -21a Combine like terms: 21a + -21a = 0 -5 + -17a = 15 + 0 -5 + -17a = 15 Add '5' to each side of the equation. -5 + 5 + -17a = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -17a = 15 + 5 -17a = 15 + 5 Combine like terms: 15 + 5 = 20 -17a = 20 Divide each side by '-17'. a = -1.176470588 Simplifying a = -1.176470588
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