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Simplifying 5a + -5 = 2(a + 1) + 15a + 6 Reorder the terms: -5 + 5a = 2(a + 1) + 15a + 6 Reorder the terms: -5 + 5a = 2(1 + a) + 15a + 6 -5 + 5a = (1 * 2 + a * 2) + 15a + 6 -5 + 5a = (2 + 2a) + 15a + 6 Reorder the terms: -5 + 5a = 2 + 6 + 2a + 15a Combine like terms: 2 + 6 = 8 -5 + 5a = 8 + 2a + 15a Combine like terms: 2a + 15a = 17a -5 + 5a = 8 + 17a Solving -5 + 5a = 8 + 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. -5 + 5a + -17a = 8 + 17a + -17a Combine like terms: 5a + -17a = -12a -5 + -12a = 8 + 17a + -17a Combine like terms: 17a + -17a = 0 -5 + -12a = 8 + 0 -5 + -12a = 8 Add '5' to each side of the equation. -5 + 5 + -12a = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -12a = 8 + 5 -12a = 8 + 5 Combine like terms: 8 + 5 = 13 -12a = 13 Divide each side by '-12'. a = -1.083333333 Simplifying a = -1.083333333
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