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Simplifying 2a + -13 = 2(a + 1) + 16a + 4 Reorder the terms: -13 + 2a = 2(a + 1) + 16a + 4 Reorder the terms: -13 + 2a = 2(1 + a) + 16a + 4 -13 + 2a = (1 * 2 + a * 2) + 16a + 4 -13 + 2a = (2 + 2a) + 16a + 4 Reorder the terms: -13 + 2a = 2 + 4 + 2a + 16a Combine like terms: 2 + 4 = 6 -13 + 2a = 6 + 2a + 16a Combine like terms: 2a + 16a = 18a -13 + 2a = 6 + 18a Solving -13 + 2a = 6 + 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. -13 + 2a + -18a = 6 + 18a + -18a Combine like terms: 2a + -18a = -16a -13 + -16a = 6 + 18a + -18a Combine like terms: 18a + -18a = 0 -13 + -16a = 6 + 0 -13 + -16a = 6 Add '13' to each side of the equation. -13 + 13 + -16a = 6 + 13 Combine like terms: -13 + 13 = 0 0 + -16a = 6 + 13 -16a = 6 + 13 Combine like terms: 6 + 13 = 19 -16a = 19 Divide each side by '-16'. a = -1.1875 Simplifying a = -1.1875
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