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Simplifying a + 10 = 4a + -8 Reorder the terms: 10 + a = 4a + -8 Reorder the terms: 10 + a = -8 + 4a Solving 10 + a = -8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 10 + a + -4a = -8 + 4a + -4a Combine like terms: a + -4a = -3a 10 + -3a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 10 + -3a = -8 + 0 10 + -3a = -8 Add '-10' to each side of the equation. 10 + -10 + -3a = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = -8 + -10 -3a = -8 + -10 Combine like terms: -8 + -10 = -18 -3a = -18 Divide each side by '-3'. a = 6 Simplifying a = 6
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