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Simplifying 5a + -3 = 5(a + 1) + 11a + 6 Reorder the terms: -3 + 5a = 5(a + 1) + 11a + 6 Reorder the terms: -3 + 5a = 5(1 + a) + 11a + 6 -3 + 5a = (1 * 5 + a * 5) + 11a + 6 -3 + 5a = (5 + 5a) + 11a + 6 Reorder the terms: -3 + 5a = 5 + 6 + 5a + 11a Combine like terms: 5 + 6 = 11 -3 + 5a = 11 + 5a + 11a Combine like terms: 5a + 11a = 16a -3 + 5a = 11 + 16a Solving -3 + 5a = 11 + 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. -3 + 5a + -16a = 11 + 16a + -16a Combine like terms: 5a + -16a = -11a -3 + -11a = 11 + 16a + -16a Combine like terms: 16a + -16a = 0 -3 + -11a = 11 + 0 -3 + -11a = 11 Add '3' to each side of the equation. -3 + 3 + -11a = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -11a = 11 + 3 -11a = 11 + 3 Combine like terms: 11 + 3 = 14 -11a = 14 Divide each side by '-11'. a = -1.272727273 Simplifying a = -1.272727273
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