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Simplifying 7a + -10 = 8a + -4 + 2a Reorder the terms: -10 + 7a = 8a + -4 + 2a Reorder the terms: -10 + 7a = -4 + 8a + 2a Combine like terms: 8a + 2a = 10a -10 + 7a = -4 + 10a Solving -10 + 7a = -4 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -10 + 7a + -10a = -4 + 10a + -10a Combine like terms: 7a + -10a = -3a -10 + -3a = -4 + 10a + -10a Combine like terms: 10a + -10a = 0 -10 + -3a = -4 + 0 -10 + -3a = -4 Add '10' to each side of the equation. -10 + 10 + -3a = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -3a = -4 + 10 -3a = -4 + 10 Combine like terms: -4 + 10 = 6 -3a = 6 Divide each side by '-3'. a = -2 Simplifying a = -2
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