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Simplifying 2a + -11 = 3(a + 1) + 16a + 5 Reorder the terms: -11 + 2a = 3(a + 1) + 16a + 5 Reorder the terms: -11 + 2a = 3(1 + a) + 16a + 5 -11 + 2a = (1 * 3 + a * 3) + 16a + 5 -11 + 2a = (3 + 3a) + 16a + 5 Reorder the terms: -11 + 2a = 3 + 5 + 3a + 16a Combine like terms: 3 + 5 = 8 -11 + 2a = 8 + 3a + 16a Combine like terms: 3a + 16a = 19a -11 + 2a = 8 + 19a Solving -11 + 2a = 8 + 19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19a' to each side of the equation. -11 + 2a + -19a = 8 + 19a + -19a Combine like terms: 2a + -19a = -17a -11 + -17a = 8 + 19a + -19a Combine like terms: 19a + -19a = 0 -11 + -17a = 8 + 0 -11 + -17a = 8 Add '11' to each side of the equation. -11 + 11 + -17a = 8 + 11 Combine like terms: -11 + 11 = 0 0 + -17a = 8 + 11 -17a = 8 + 11 Combine like terms: 8 + 11 = 19 -17a = 19 Divide each side by '-17'. a = -1.117647059 Simplifying a = -1.117647059
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