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Simplifying 3a + -5 = 8(6 + 4a) + 5 Reorder the terms: -5 + 3a = 8(6 + 4a) + 5 -5 + 3a = (6 * 8 + 4a * 8) + 5 -5 + 3a = (48 + 32a) + 5 Reorder the terms: -5 + 3a = 48 + 5 + 32a Combine like terms: 48 + 5 = 53 -5 + 3a = 53 + 32a Solving -5 + 3a = 53 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. -5 + 3a + -32a = 53 + 32a + -32a Combine like terms: 3a + -32a = -29a -5 + -29a = 53 + 32a + -32a Combine like terms: 32a + -32a = 0 -5 + -29a = 53 + 0 -5 + -29a = 53 Add '5' to each side of the equation. -5 + 5 + -29a = 53 + 5 Combine like terms: -5 + 5 = 0 0 + -29a = 53 + 5 -29a = 53 + 5 Combine like terms: 53 + 5 = 58 -29a = 58 Divide each side by '-29'. a = -2 Simplifying a = -2
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