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Simplifying 5a + -10 = 2(a + 1) + 14a + 2 Reorder the terms: -10 + 5a = 2(a + 1) + 14a + 2 Reorder the terms: -10 + 5a = 2(1 + a) + 14a + 2 -10 + 5a = (1 * 2 + a * 2) + 14a + 2 -10 + 5a = (2 + 2a) + 14a + 2 Reorder the terms: -10 + 5a = 2 + 2 + 2a + 14a Combine like terms: 2 + 2 = 4 -10 + 5a = 4 + 2a + 14a Combine like terms: 2a + 14a = 16a -10 + 5a = 4 + 16a Solving -10 + 5a = 4 + 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. -10 + 5a + -16a = 4 + 16a + -16a Combine like terms: 5a + -16a = -11a -10 + -11a = 4 + 16a + -16a Combine like terms: 16a + -16a = 0 -10 + -11a = 4 + 0 -10 + -11a = 4 Add '10' to each side of the equation. -10 + 10 + -11a = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -11a = 4 + 10 -11a = 4 + 10 Combine like terms: 4 + 10 = 14 -11a = 14 Divide each side by '-11'. a = -1.272727273 Simplifying a = -1.272727273
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