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Simplifying 5a + -10 = 3 + -3a + -61 Reorder the terms: -10 + 5a = 3 + -3a + -61 Reorder the terms: -10 + 5a = 3 + -61 + -3a Combine like terms: 3 + -61 = -58 -10 + 5a = -58 + -3a Solving -10 + 5a = -58 + -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. -10 + 5a + 3a = -58 + -3a + 3a Combine like terms: 5a + 3a = 8a -10 + 8a = -58 + -3a + 3a Combine like terms: -3a + 3a = 0 -10 + 8a = -58 + 0 -10 + 8a = -58 Add '10' to each side of the equation. -10 + 10 + 8a = -58 + 10 Combine like terms: -10 + 10 = 0 0 + 8a = -58 + 10 8a = -58 + 10 Combine like terms: -58 + 10 = -48 8a = -48 Divide each side by '8'. a = -6 Simplifying a = -6
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