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Simplifying -29 = 5(2d + -1) + 2a Reorder the terms: -29 = 5(-1 + 2d) + 2a -29 = (-1 * 5 + 2d * 5) + 2a -29 = (-5 + 10d) + 2a Reorder the terms: -29 = -5 + 2a + 10d Solving -29 = -5 + 2a + 10d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -29 + -2a = -5 + 2a + -2a + 10d Combine like terms: 2a + -2a = 0 -29 + -2a = -5 + 0 + 10d -29 + -2a = -5 + 10d Add '29' to each side of the equation. -29 + 29 + -2a = -5 + 29 + 10d Combine like terms: -29 + 29 = 0 0 + -2a = -5 + 29 + 10d -2a = -5 + 29 + 10d Combine like terms: -5 + 29 = 24 -2a = 24 + 10d Divide each side by '-2'. a = -12 + -5d Simplifying a = -12 + -5d
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