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Simplifying 4a + -12 = 3(a + 1) + 14a + 1 Reorder the terms: -12 + 4a = 3(a + 1) + 14a + 1 Reorder the terms: -12 + 4a = 3(1 + a) + 14a + 1 -12 + 4a = (1 * 3 + a * 3) + 14a + 1 -12 + 4a = (3 + 3a) + 14a + 1 Reorder the terms: -12 + 4a = 3 + 1 + 3a + 14a Combine like terms: 3 + 1 = 4 -12 + 4a = 4 + 3a + 14a Combine like terms: 3a + 14a = 17a -12 + 4a = 4 + 17a Solving -12 + 4a = 4 + 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. -12 + 4a + -17a = 4 + 17a + -17a Combine like terms: 4a + -17a = -13a -12 + -13a = 4 + 17a + -17a Combine like terms: 17a + -17a = 0 -12 + -13a = 4 + 0 -12 + -13a = 4 Add '12' to each side of the equation. -12 + 12 + -13a = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -13a = 4 + 12 -13a = 4 + 12 Combine like terms: 4 + 12 = 16 -13a = 16 Divide each side by '-13'. a = -1.230769231 Simplifying a = -1.230769231
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