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Simplifying -29 = 6(7a + -5) Reorder the terms: -29 = 6(-5 + 7a) -29 = (-5 * 6 + 7a * 6) -29 = (-30 + 42a) Solving -29 = -30 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. -29 + -42a = -30 + 42a + -42a Combine like terms: 42a + -42a = 0 -29 + -42a = -30 + 0 -29 + -42a = -30 Add '29' to each side of the equation. -29 + 29 + -42a = -30 + 29 Combine like terms: -29 + 29 = 0 0 + -42a = -30 + 29 -42a = -30 + 29 Combine like terms: -30 + 29 = -1 -42a = -1 Divide each side by '-42'. a = 0.02380952381 Simplifying a = 0.02380952381
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