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Simplifying 4a + -4 = 5(a + 1) + 12a + 6 Reorder the terms: -4 + 4a = 5(a + 1) + 12a + 6 Reorder the terms: -4 + 4a = 5(1 + a) + 12a + 6 -4 + 4a = (1 * 5 + a * 5) + 12a + 6 -4 + 4a = (5 + 5a) + 12a + 6 Reorder the terms: -4 + 4a = 5 + 6 + 5a + 12a Combine like terms: 5 + 6 = 11 -4 + 4a = 11 + 5a + 12a Combine like terms: 5a + 12a = 17a -4 + 4a = 11 + 17a Solving -4 + 4a = 11 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -4 + 4a + -17a = 11 + 17a + -17a Combine like terms: 4a + -17a = -13a -4 + -13a = 11 + 17a + -17a Combine like terms: 17a + -17a = 0 -4 + -13a = 11 + 0 -4 + -13a = 11 Add '4' to each side of the equation. -4 + 4 + -13a = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -13a = 11 + 4 -13a = 11 + 4 Combine like terms: 11 + 4 = 15 -13a = 15 Divide each side by '-13'. a = -1.153846154 Simplifying a = -1.153846154
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