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Simplifying 2a + -12 = 4(a + 1) + 14a + 3 Reorder the terms: -12 + 2a = 4(a + 1) + 14a + 3 Reorder the terms: -12 + 2a = 4(1 + a) + 14a + 3 -12 + 2a = (1 * 4 + a * 4) + 14a + 3 -12 + 2a = (4 + 4a) + 14a + 3 Reorder the terms: -12 + 2a = 4 + 3 + 4a + 14a Combine like terms: 4 + 3 = 7 -12 + 2a = 7 + 4a + 14a Combine like terms: 4a + 14a = 18a -12 + 2a = 7 + 18a Solving -12 + 2a = 7 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -12 + 2a + -18a = 7 + 18a + -18a Combine like terms: 2a + -18a = -16a -12 + -16a = 7 + 18a + -18a Combine like terms: 18a + -18a = 0 -12 + -16a = 7 + 0 -12 + -16a = 7 Add '12' to each side of the equation. -12 + 12 + -16a = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -16a = 7 + 12 -16a = 7 + 12 Combine like terms: 7 + 12 = 19 -16a = 19 Divide each side by '-16'. a = -1.1875 Simplifying a = -1.1875
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