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Simplifying -29 = 10(5a + -1) + 2a Reorder the terms: -29 = 10(-1 + 5a) + 2a -29 = (-1 * 10 + 5a * 10) + 2a -29 = (-10 + 50a) + 2a Combine like terms: 50a + 2a = 52a -29 = -10 + 52a Solving -29 = -10 + 52a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-52a' to each side of the equation. -29 + -52a = -10 + 52a + -52a Combine like terms: 52a + -52a = 0 -29 + -52a = -10 + 0 -29 + -52a = -10 Add '29' to each side of the equation. -29 + 29 + -52a = -10 + 29 Combine like terms: -29 + 29 = 0 0 + -52a = -10 + 29 -52a = -10 + 29 Combine like terms: -10 + 29 = 19 -52a = 19 Divide each side by '-52'. a = -0.3653846154 Simplifying a = -0.3653846154
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