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Simplifying -5a + 7z = -18 + 3a + 5a Combine like terms: 3a + 5a = 8a -5a + 7z = -18 + 8a Solving -5a + 7z = -18 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -5a + -8a + 7z = -18 + 8a + -8a Combine like terms: -5a + -8a = -13a -13a + 7z = -18 + 8a + -8a Combine like terms: 8a + -8a = 0 -13a + 7z = -18 + 0 -13a + 7z = -18 Add '-7z' to each side of the equation. -13a + 7z + -7z = -18 + -7z Combine like terms: 7z + -7z = 0 -13a + 0 = -18 + -7z -13a = -18 + -7z Divide each side by '-13'. a = 1.384615385 + 0.5384615385z Simplifying a = 1.384615385 + 0.5384615385z
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