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Simplifying 7a + -68 + 15a = -32a + 92 + 14a Reorder the terms: -68 + 7a + 15a = -32a + 92 + 14a Combine like terms: 7a + 15a = 22a -68 + 22a = -32a + 92 + 14a Reorder the terms: -68 + 22a = 92 + -32a + 14a Combine like terms: -32a + 14a = -18a -68 + 22a = 92 + -18a Solving -68 + 22a = 92 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. -68 + 22a + 18a = 92 + -18a + 18a Combine like terms: 22a + 18a = 40a -68 + 40a = 92 + -18a + 18a Combine like terms: -18a + 18a = 0 -68 + 40a = 92 + 0 -68 + 40a = 92 Add '68' to each side of the equation. -68 + 68 + 40a = 92 + 68 Combine like terms: -68 + 68 = 0 0 + 40a = 92 + 68 40a = 92 + 68 Combine like terms: 92 + 68 = 160 40a = 160 Divide each side by '40'. a = 4 Simplifying a = 4
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