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Simplifying 4a + -29 = 5 + -3(8a + -2) Reorder the terms: -29 + 4a = 5 + -3(8a + -2) Reorder the terms: -29 + 4a = 5 + -3(-2 + 8a) -29 + 4a = 5 + (-2 * -3 + 8a * -3) -29 + 4a = 5 + (6 + -24a) Combine like terms: 5 + 6 = 11 -29 + 4a = 11 + -24a Solving -29 + 4a = 11 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. -29 + 4a + 24a = 11 + -24a + 24a Combine like terms: 4a + 24a = 28a -29 + 28a = 11 + -24a + 24a Combine like terms: -24a + 24a = 0 -29 + 28a = 11 + 0 -29 + 28a = 11 Add '29' to each side of the equation. -29 + 29 + 28a = 11 + 29 Combine like terms: -29 + 29 = 0 0 + 28a = 11 + 29 28a = 11 + 29 Combine like terms: 11 + 29 = 40 28a = 40 Divide each side by '28'. a = 1.428571429 Simplifying a = 1.428571429
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