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Simplifying 5a + -5 = 4(a + 1) + 14a + 6 Reorder the terms: -5 + 5a = 4(a + 1) + 14a + 6 Reorder the terms: -5 + 5a = 4(1 + a) + 14a + 6 -5 + 5a = (1 * 4 + a * 4) + 14a + 6 -5 + 5a = (4 + 4a) + 14a + 6 Reorder the terms: -5 + 5a = 4 + 6 + 4a + 14a Combine like terms: 4 + 6 = 10 -5 + 5a = 10 + 4a + 14a Combine like terms: 4a + 14a = 18a -5 + 5a = 10 + 18a Solving -5 + 5a = 10 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -5 + 5a + -18a = 10 + 18a + -18a Combine like terms: 5a + -18a = -13a -5 + -13a = 10 + 18a + -18a Combine like terms: 18a + -18a = 0 -5 + -13a = 10 + 0 -5 + -13a = 10 Add '5' to each side of the equation. -5 + 5 + -13a = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -13a = 10 + 5 -13a = 10 + 5 Combine like terms: 10 + 5 = 15 -13a = 15 Divide each side by '-13'. a = -1.153846154 Simplifying a = -1.153846154
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