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Simplifying -29 = 5(2a + -1) + 2d Reorder the terms: -29 = 5(-1 + 2a) + 2d -29 = (-1 * 5 + 2a * 5) + 2d -29 = (-5 + 10a) + 2d Solving -29 = -5 + 10a + 2d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -29 + -10a = -5 + 10a + -10a + 2d Combine like terms: 10a + -10a = 0 -29 + -10a = -5 + 0 + 2d -29 + -10a = -5 + 2d Add '29' to each side of the equation. -29 + 29 + -10a = -5 + 29 + 2d Combine like terms: -29 + 29 = 0 0 + -10a = -5 + 29 + 2d -10a = -5 + 29 + 2d Combine like terms: -5 + 29 = 24 -10a = 24 + 2d Divide each side by '-10'. a = -2.4 + -0.2d Simplifying a = -2.4 + -0.2d
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