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Simplifying 2a + -8 = 5(a + 1) + 14a + 6 Reorder the terms: -8 + 2a = 5(a + 1) + 14a + 6 Reorder the terms: -8 + 2a = 5(1 + a) + 14a + 6 -8 + 2a = (1 * 5 + a * 5) + 14a + 6 -8 + 2a = (5 + 5a) + 14a + 6 Reorder the terms: -8 + 2a = 5 + 6 + 5a + 14a Combine like terms: 5 + 6 = 11 -8 + 2a = 11 + 5a + 14a Combine like terms: 5a + 14a = 19a -8 + 2a = 11 + 19a Solving -8 + 2a = 11 + 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. -8 + 2a + -19a = 11 + 19a + -19a Combine like terms: 2a + -19a = -17a -8 + -17a = 11 + 19a + -19a Combine like terms: 19a + -19a = 0 -8 + -17a = 11 + 0 -8 + -17a = 11 Add '8' to each side of the equation. -8 + 8 + -17a = 11 + 8 Combine like terms: -8 + 8 = 0 0 + -17a = 11 + 8 -17a = 11 + 8 Combine like terms: 11 + 8 = 19 -17a = 19 Divide each side by '-17'. a = -1.117647059 Simplifying a = -1.117647059
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