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Simplifying 10 + -13a + 2a + -16 = -5 + 7a + 11 Reorder the terms: 10 + -16 + -13a + 2a = -5 + 7a + 11 Combine like terms: 10 + -16 = -6 -6 + -13a + 2a = -5 + 7a + 11 Combine like terms: -13a + 2a = -11a -6 + -11a = -5 + 7a + 11 Reorder the terms: -6 + -11a = -5 + 11 + 7a Combine like terms: -5 + 11 = 6 -6 + -11a = 6 + 7a Solving -6 + -11a = 6 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -6 + -11a + -7a = 6 + 7a + -7a Combine like terms: -11a + -7a = -18a -6 + -18a = 6 + 7a + -7a Combine like terms: 7a + -7a = 0 -6 + -18a = 6 + 0 -6 + -18a = 6 Add '6' to each side of the equation. -6 + 6 + -18a = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -18a = 6 + 6 -18a = 6 + 6 Combine like terms: 6 + 6 = 12 -18a = 12 Divide each side by '-18'. a = -0.6666666667 Simplifying a = -0.6666666667
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