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Simplifying (5a + -2) * 3 + -5a + -2 = 3a + -1 Reorder the terms: (-2 + 5a) * 3 + -5a + -2 = 3a + -1 Reorder the terms for easier multiplication: 3(-2 + 5a) + -5a + -2 = 3a + -1 (-2 * 3 + 5a * 3) + -5a + -2 = 3a + -1 (-6 + 15a) + -5a + -2 = 3a + -1 Reorder the terms: -6 + -2 + 15a + -5a = 3a + -1 Combine like terms: -6 + -2 = -8 -8 + 15a + -5a = 3a + -1 Combine like terms: 15a + -5a = 10a -8 + 10a = 3a + -1 Reorder the terms: -8 + 10a = -1 + 3a Solving -8 + 10a = -1 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -8 + 10a + -3a = -1 + 3a + -3a Combine like terms: 10a + -3a = 7a -8 + 7a = -1 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 7a = -1 + 0 -8 + 7a = -1 Add '8' to each side of the equation. -8 + 8 + 7a = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 7a = -1 + 8 7a = -1 + 8 Combine like terms: -1 + 8 = 7 7a = 7 Divide each side by '7'. a = 1 Simplifying a = 1
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