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Simplifying a + -6 = 5a + -18 Reorder the terms: -6 + a = 5a + -18 Reorder the terms: -6 + a = -18 + 5a Solving -6 + a = -18 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -6 + a + -5a = -18 + 5a + -5a Combine like terms: a + -5a = -4a -6 + -4a = -18 + 5a + -5a Combine like terms: 5a + -5a = 0 -6 + -4a = -18 + 0 -6 + -4a = -18 Add '6' to each side of the equation. -6 + 6 + -4a = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -4a = -18 + 6 -4a = -18 + 6 Combine like terms: -18 + 6 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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