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Simplifying a + -143 + 52a = 18 + 40a + 8 Reorder the terms: -143 + a + 52a = 18 + 40a + 8 Combine like terms: a + 52a = 53a -143 + 53a = 18 + 40a + 8 Reorder the terms: -143 + 53a = 18 + 8 + 40a Combine like terms: 18 + 8 = 26 -143 + 53a = 26 + 40a Solving -143 + 53a = 26 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. -143 + 53a + -40a = 26 + 40a + -40a Combine like terms: 53a + -40a = 13a -143 + 13a = 26 + 40a + -40a Combine like terms: 40a + -40a = 0 -143 + 13a = 26 + 0 -143 + 13a = 26 Add '143' to each side of the equation. -143 + 143 + 13a = 26 + 143 Combine like terms: -143 + 143 = 0 0 + 13a = 26 + 143 13a = 26 + 143 Combine like terms: 26 + 143 = 169 13a = 169 Divide each side by '13'. a = 13 Simplifying a = 13
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