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Simplifying 18 + -6a = 4a + -5(a + 3) Reorder the terms: 18 + -6a = 4a + -5(3 + a) 18 + -6a = 4a + (3 * -5 + a * -5) 18 + -6a = 4a + (-15 + -5a) Reorder the terms: 18 + -6a = -15 + 4a + -5a Combine like terms: 4a + -5a = -1a 18 + -6a = -15 + -1a Solving 18 + -6a = -15 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 18 + -6a + a = -15 + -1a + a Combine like terms: -6a + a = -5a 18 + -5a = -15 + -1a + a Combine like terms: -1a + a = 0 18 + -5a = -15 + 0 18 + -5a = -15 Add '-18' to each side of the equation. 18 + -18 + -5a = -15 + -18 Combine like terms: 18 + -18 = 0 0 + -5a = -15 + -18 -5a = -15 + -18 Combine like terms: -15 + -18 = -33 -5a = -33 Divide each side by '-5'. a = 6.6 Simplifying a = 6.6
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