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Simplifying 5a + -7 = 3(a + 1) + 13a + 2 Reorder the terms: -7 + 5a = 3(a + 1) + 13a + 2 Reorder the terms: -7 + 5a = 3(1 + a) + 13a + 2 -7 + 5a = (1 * 3 + a * 3) + 13a + 2 -7 + 5a = (3 + 3a) + 13a + 2 Reorder the terms: -7 + 5a = 3 + 2 + 3a + 13a Combine like terms: 3 + 2 = 5 -7 + 5a = 5 + 3a + 13a Combine like terms: 3a + 13a = 16a -7 + 5a = 5 + 16a Solving -7 + 5a = 5 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -7 + 5a + -16a = 5 + 16a + -16a Combine like terms: 5a + -16a = -11a -7 + -11a = 5 + 16a + -16a Combine like terms: 16a + -16a = 0 -7 + -11a = 5 + 0 -7 + -11a = 5 Add '7' to each side of the equation. -7 + 7 + -11a = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -11a = 5 + 7 -11a = 5 + 7 Combine like terms: 5 + 7 = 12 -11a = 12 Divide each side by '-11'. a = -1.090909091 Simplifying a = -1.090909091
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