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Simplifying 4a + -12 = 2(a + 1) + 19a + 4 Reorder the terms: -12 + 4a = 2(a + 1) + 19a + 4 Reorder the terms: -12 + 4a = 2(1 + a) + 19a + 4 -12 + 4a = (1 * 2 + a * 2) + 19a + 4 -12 + 4a = (2 + 2a) + 19a + 4 Reorder the terms: -12 + 4a = 2 + 4 + 2a + 19a Combine like terms: 2 + 4 = 6 -12 + 4a = 6 + 2a + 19a Combine like terms: 2a + 19a = 21a -12 + 4a = 6 + 21a Solving -12 + 4a = 6 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -12 + 4a + -21a = 6 + 21a + -21a Combine like terms: 4a + -21a = -17a -12 + -17a = 6 + 21a + -21a Combine like terms: 21a + -21a = 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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