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Simplifying 5a + -12 = 2(a + 1) + 20a + 6 Reorder the terms: -12 + 5a = 2(a + 1) + 20a + 6 Reorder the terms: -12 + 5a = 2(1 + a) + 20a + 6 -12 + 5a = (1 * 2 + a * 2) + 20a + 6 -12 + 5a = (2 + 2a) + 20a + 6 Reorder the terms: -12 + 5a = 2 + 6 + 2a + 20a Combine like terms: 2 + 6 = 8 -12 + 5a = 8 + 2a + 20a Combine like terms: 2a + 20a = 22a -12 + 5a = 8 + 22a Solving -12 + 5a = 8 + 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. -12 + 5a + -22a = 8 + 22a + -22a Combine like terms: 5a + -22a = -17a -12 + -17a = 8 + 22a + -22a Combine like terms: 22a + -22a = 0 -12 + -17a = 8 + 0 -12 + -17a = 8 Add '12' to each side of the equation. -12 + 12 + -17a = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -17a = 8 + 12 -17a = 8 + 12 Combine like terms: 8 + 12 = 20 -17a = 20 Divide each side by '-17'. a = -1.176470588 Simplifying a = -1.176470588
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