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Simplifying a + -143 + 52 = 18 + 40a + 8 Reorder the terms: -143 + 52 + a = 18 + 40a + 8 Combine like terms: -143 + 52 = -91 -91 + a = 18 + 40a + 8 Reorder the terms: -91 + a = 18 + 8 + 40a Combine like terms: 18 + 8 = 26 -91 + a = 26 + 40a Solving -91 + a = 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. -91 + a + -40a = 26 + 40a + -40a Combine like terms: a + -40a = -39a -91 + -39a = 26 + 40a + -40a Combine like terms: 40a + -40a = 0 -91 + -39a = 26 + 0 -91 + -39a = 26 Add '91' to each side of the equation. -91 + 91 + -39a = 26 + 91 Combine like terms: -91 + 91 = 0 0 + -39a = 26 + 91 -39a = 26 + 91 Combine like terms: 26 + 91 = 117 -39a = 117 Divide each side by '-39'. a = -3 Simplifying a = -3
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