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Simplifying 5a + -10 = 3(a + 1) + 14a + 2 Reorder the terms: -10 + 5a = 3(a + 1) + 14a + 2 Reorder the terms: -10 + 5a = 3(1 + a) + 14a + 2 -10 + 5a = (1 * 3 + a * 3) + 14a + 2 -10 + 5a = (3 + 3a) + 14a + 2 Reorder the terms: -10 + 5a = 3 + 2 + 3a + 14a Combine like terms: 3 + 2 = 5 -10 + 5a = 5 + 3a + 14a Combine like terms: 3a + 14a = 17a -10 + 5a = 5 + 17a Solving -10 + 5a = 5 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -10 + 5a + -17a = 5 + 17a + -17a Combine like terms: 5a + -17a = -12a -10 + -12a = 5 + 17a + -17a Combine like terms: 17a + -17a = 0 -10 + -12a = 5 + 0 -10 + -12a = 5 Add '10' to each side of the equation. -10 + 10 + -12a = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -12a = 5 + 10 -12a = 5 + 10 Combine like terms: 5 + 10 = 15 -12a = 15 Divide each side by '-12'. a = -1.25 Simplifying a = -1.25
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