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Simplifying 4b + 7a + -8 = 8 + -7a + 4b Reorder the terms: -8 + 7a + 4b = 8 + -7a + 4b Add '-4b' to each side of the equation. -8 + 7a + 4b + -4b = 8 + -7a + 4b + -4b Combine like terms: 4b + -4b = 0 -8 + 7a + 0 = 8 + -7a + 4b + -4b -8 + 7a = 8 + -7a + 4b + -4b Combine like terms: 4b + -4b = 0 -8 + 7a = 8 + -7a + 0 -8 + 7a = 8 + -7a Solving -8 + 7a = 8 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -8 + 7a + 7a = 8 + -7a + 7a Combine like terms: 7a + 7a = 14a -8 + 14a = 8 + -7a + 7a Combine like terms: -7a + 7a = 0 -8 + 14a = 8 + 0 -8 + 14a = 8 Add '8' to each side of the equation. -8 + 8 + 14a = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 14a = 8 + 8 14a = 8 + 8 Combine like terms: 8 + 8 = 16 14a = 16 Divide each side by '14'. a = 1.142857143 Simplifying a = 1.142857143
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