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Simplifying 5a + -12 = 4(a + 1) + 18a + 2 Reorder the terms: -12 + 5a = 4(a + 1) + 18a + 2 Reorder the terms: -12 + 5a = 4(1 + a) + 18a + 2 -12 + 5a = (1 * 4 + a * 4) + 18a + 2 -12 + 5a = (4 + 4a) + 18a + 2 Reorder the terms: -12 + 5a = 4 + 2 + 4a + 18a Combine like terms: 4 + 2 = 6 -12 + 5a = 6 + 4a + 18a Combine like terms: 4a + 18a = 22a -12 + 5a = 6 + 22a Solving -12 + 5a = 6 + 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 = 6 + 22a + -22a Combine like terms: 5a + -22a = -17a -12 + -17a = 6 + 22a + -22a Combine like terms: 22a + -22a = 0 -12 + -17a = 6 + 0 -12 + -17a = 6 Add '12' to each side of the equation. -12 + 12 + -17a = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -17a = 6 + 12 -17a = 6 + 12 Combine like terms: 6 + 12 = 18 -17a = 18 Divide each side by '-17'. a = -1.058823529 Simplifying a = -1.058823529
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